Kilgore's Deli is a small delicatessen located near a major university. Kilgore does a large walk-in carry-out lunch business. The deli offers three luncheon chili specials, Wimpy, Dial 911, Fire Bowl. At the beginning of the day, Kilgore needs to decide how much of each special to make (he always sells out of whatever he makes).
The profit on one serving of Wimpy is $0.6, on one serving of Dial 911 is $0.55, and on one serving of Fire Bowl is $0.65.
The following table shows the required ingredients to make one serving of each chili special, and the available amount of each ingredient for today :
Ingredient Required ingredient for each serving of Wimpy Required ingredient for each serving of Dial 911 Required ingredient for each serving of Fire Bowl Available Amount
Beef (lbs) 1 1 1.5 15
Onions (cup) 2 2 2 20
Special Sauce (oz) 5 2 3 90
Hot Sauce (oz) 0 5 6 60
Based on the historical sales data, Kilgore's Deli has the following considerations:
the number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
the number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
the available number of servings for Dial 911 must be at least 2.
(1.1) Develop the linear programming model to help determine the number of servings of Wimpy, Dial 911, and Fire Bowl to make in order to maximize his profit today. Type your algebraic formulation in the specified area in Q1 tab of the Excel template. Note you will not get full credits without including the algebraic formulation.
(1.2) Solve your LP model in Excel and fill in the following blanks (show your work in Q1 tab):
The optimal number of servings of Wimpy is
The optimal number of servings of Dial 911 is
The optimal number of servings of Fire Bowl is
The maximum possible profit is
Is there any leftover of ingredients as a result of this optimal solution? if yes, enter the amount. Otherwise, just type 0.
Amount of beef leftover
Amount of onion leftover
Amount of special sauce leftover
Amount of hot sauce leftover
Answer:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
Amount of beef leftover 2 lb
Amount of onions leftover 0
Amount of Special Sauce leftover 61
Amount of Hot Sauce leftover 9
Step-by-step explanation:
Ingredients Beef Onions Special S Hot S Profit
Wimpy (x₁) 1 2 5 0 0.6
Dial 911 (x₂) 1 2 2 5 0.55
Fire Bowl (x₃) 1.5 2 3 6 0.65
Available 15 20 90 60
Objective Function z:
z = 0.6*x₁ + 0.55*x₂ + 0.65*x₃ to maximize
Subject to:
1) Quantity of beef : 15
x₁ + x₂ + 1.5*x₃ ≤ 15
2) Quantity of onions: 20
2*x₁ + 2*x₂ + 2*x₃ ≤ 20
3) Quantity of Special sauce: 90
5*x₁ + 2*x₂ + 3*x₃ ≤ 90
4) Quantity of hot sauce: 60
0*x₁ + 5*x₂ + 6*x₃ ≤ 60
5) Condition: The number of servings for Fire Bowl must be at least 10% of the total number of servings for all three luncheon chili specials.
x₃ ≥ 0.1 ( x₁ + x₂ + x₃ ) or x₃ ≥ 0.1*x₁ + 0.1 *x₂ + 0.1*x₃
x₃ - 0.1*x₁ - 0.1 *x₂ - 0.1*x₃ ≥ 0
- 0.1*x₁ - 0.1 *x₂ + 0.9 *x₃ ≥ 0
6)Condition: The number of servings for Fire Bowl, however, cannot exceed the number of Dial 911 by more than 3.
x₃ - x₂ ≤ 3
7)the available number of servings for Dial 911 must be at least 2.
x₂ ≥ 2
General constraints:
x₁ ≥ 0 x₃ ≥ 0 all integers
With on-line solver solution is:
z (max) = 6.15
x₁ = 1 x₂ = 3 x₃ = 6
By sbstitution on the constraints
1) x₁ + x₂ + 1.5*x₃ ≤ 15 1 + 3 + 9 = 13
Amount of beef leftover 2 lb
2) 2*x₁ + 2*x₂ + 2*x₃ ≤ 20 2 + 6 + 12 = 20
Amount of onions leftover 0
3) 5*x₁ + 2*x₂ + 3*x₃ ≤ 90 5 + 6 + 18 = 29
Amount of Special Sauce leftover 61
4)0*x₁ + 5*x₂ + 6*x₃ ≤ 60 15 + 36 = 51
Amount of Hot Sauce leftover 9
Item 1
Use the figure to find the measures of the numbered angles.
Parallel lines a and b are intersected by a transversal t. Angle 1 and angle 99 degrees are supplementary angles. Angle 1 and angle 3 are vertical angles. Angle 2 and angle 99 degrees are vertical angles. Angle 99 degrees and angle 4 degrees are corresponding angles on the same side of the transversal. Angle 1 and angle 5 are corresponding angles on the other side of the transversal. Angle 5 and angle 7 are vertical angles. Angle 6 and angle 4 are vertical angles.
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Answer:
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
Step-by-step explanation:
Vertical and corresponding angles are congruent. Angles 1 and 99° are supplementary, so ...
∠1 = 180° -99° = 81°
Then we have ...
∠1 = ∠3 = ∠5 = ∠7 = 81°
∠2 = ∠4 = ∠6 = 99°
What is the greatest common factor of 16, 36, and 28?
Find the slope of the line that passes through the points (-6,-2) and (-7,2)
Answer:
-4
Step-by-step explanation:
the steps are in the pic above
HELP HELP HELP HELP
What is the equation of the trend line in the scatter plot ?
Answer:
Equation would be: y = [tex]\frac{4}{7} x + 4[/tex]
Hope this helps!
please help with this question
Answer:
1/2
Step-by-step explanation:
P= 7/14
= 1/2
The probability of Pickup Truck is 1/2
ANSWER ASAP DONT SEND A FILE WHATS THE RULE TRANSFORMATION FOR THIS DILATION ???
Answer: 90% of people marry there 7th grade love. since u have read this, u will be told good news tonight. if u don't pass this on nine comments your worst week starts now this isn't fake. apparently if u copy and paste this on ten comments in the next ten minutes you will have the best day of your life tomorrow. you will either get kissed or asked out in the next 53 minutes someone will say i love you.
Step-by-step explanation:
Function Composition:
Let the function [tex]f(x)= 3x + 2[/tex] and [tex]g(x) = \frac{x+3}{2x-10}[/tex] , determine:
Answer:
Given
f(x) = 3x + 2g(x) = (x + 3) / (2x - 10)#1
g · f(x) = g(f(x)) = (3x + 2 + 3)/ (2(3x + 2) - 10) = (3x + 5) / (6x - 6)#2
f · g(x) = f(g(x)) = 3[(3x + 2) / (2x - 10)] + 2 = (9x + 6) / (2x - 10) + 2 = (9x + 6 + 4x - 20)/ (2x - 10) = (13x - 14) / (2x - 10)the cost of using broadband in a hotel is £30 per hour formula to work out this total this total cost is cost in pounds = 3× number of hours. Workout the total of using boardband for 2 hours and 5 hours
Answer:
10
Step-by-step explanation:
express the sum of 2x and y is multiplied by 5 in an algebraic expressions
Answer:
(2x + y)*5
Step-by-step explanation:
Translating the word problem into an algebraic expression, we have;
(2x + y) * 5
Simplifying an expression simply means to collect like terms that are having the same variables or constants and combining them, so as to reduce the expression to the lowest possible value.
Simplifying further by opening the bracket, we have;
(2x + y)*5 = 10x + 5y
Plz help me well mark brainliest if correct!!...
Answer:
You should stick with option D
2.) Combine like terms and simplify the expression: 2x +
5y+ 7x
Your answer
Answer:
9x + 5y
Step-by-step explanation:
Here, in 2x + 5y+ 7x, the 'like terms' are 2x and 7x, and the sum of these terms is 9x. Thus, 2x + 5y+ 7x becomes 9x + 5y.
Find the area of the shape below
No links, docs, files, drives etc
I will mark the correct answer brainlyest
You earn many points
Answer: 2200
Step-by-step explanation:
First we will find the area of the triangle, the formula for that is bh/2
(base multiplied by height divided by 2) then we input the numbers into our formula, 30 is the height of the triangle and 40 is the length of the base. So we have to solve 40*30/2 which is 600, then we solve for the square on the bottom which is b*h ( base multiplied by height) so it is 40*40, so we would get 1600, then we add 600 and 1600 together and get 2200.
One batch of walnut muffins uses
1 cups of walnuts. How many cups of
walnuts are needed to make 3 batches of muffins?
1) 5 cups
4 cups
3.2 cups
5.12 cups
Answer:
4 cups
Step-by-step explanation:
find the vertex of the graph of the following quadratic equations y=2x^2-8x+9
How much larger is the volume of a triangular prism when you double the height of the prism?
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Answer:
2 times
Step-by-step explanation:
Other things remaining the same, the volume of any prism is proportional to its height. If you double the height, it is like having two prisms of the same size. The volume doubles. The new volume is 2 times the original volume.
Will you need to show that all of the parts of one triangle are congruent to all of the parts of the other triangle to prove they are congruent? Explain.
Answer:
will be sufficient to prove triangles congruent. If three sides of a triangle are congruent to three sides of another triangle, the triangles are congruent. If two sides and the included angle of one triangle are congruent to the corresponding parts of another triangle, the triangles are congruent.
Keisha had $54 when she went to a bookstore. She
had $12 left after buying some books. Which
equation can be used to find a, the amount Keisha
spent on books?
54 - a = 12
B
a - 54 = 12
a +54 = 12
12 + 54 = a
solve ax^2-c=0 assume a and c are positive
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Answer:
x = ±√(c/a)
Step-by-step explanation:
Undo what is done to x.
ax² -c = 0
ax² = c . . . . . . add c
x² = c/a . . . . . . divide by a
x = ±√(c/a) . . . . take the square root
Josh has a rewards card for a movie theater.
• He receives 15 points for becoming a rewards card holder.
• He earns 3.5 points for each visit to the movie theater.
• He needs at least 55 points to earn a free movie ticket.
Which inequality can Josh use to determine x, the minimum number of visits he needs
to earn his first free movie ticket?
Answer:
He would need to visit a minimum of 12 times
Step-by-step explanation:
Given the definitions of f (x) and g(x) below, find the value of f(g(-6)).
f(x) = x² – 2x +9
g(x) = -3x – 14
Answer:
17
Step-by-step explanation:
1) Simplify the product using the distributive property.
(x-2)(x+4)
Please help me answer this question
Last year the depth of the river was 4.2 feet deep.
This year it dropped 5%.
Find the depth of the river this year to cross it.
Answer:
3.15 ツ
Step-by-step explanation:
Can someone help me with this please ?
please help, will award brainliest
Answer:
First one
Step-by-step explanation:
The sum of two numbers is 27. The larger of the two numbers is 7 less than triple the smaller number. Indicate the two numbers below.
Answer: 69
Step-by-step explanation: EZ
During a sale, a store offered a 40% discount on a bed that
originally sold for $790. After the sale, the discounted price of
the bed was marked up by 40%. What was the price of the bed
after the markup? Round to the nearest cent.
Answer:
790 is 100% you get 40% discount, the money you pay is: 790 time 40 divided by 100
Which of the following ratios is not 2:5
A. 40:100
B. 10:20
C. 16:40
D. 6:15
Answer:
Step-by-step explanation:
Option B is the correct answer
10 : 20
In its simplest form
1 : 2
. If x = -1 and y = -2, what is the value of the expression 2x^2y - 3xy?
Step-by-step explanation:
Answer:
-4
Step-by-step explanation:
just plug in the numbers for each variable.
2(-1)^(2(-2)) - 3(-1)(-2) = 2 - 6 = -4
9f^2–10– 1+2f^2+ – 7f^2
(NO LINKS)
(LINKS WILL BE REPORTED)
Answer:
4f² - 11
Step-by-step explanation:
first group the like terms
9f²-2f²-7f² is all like terms
-10-1 are like terms
9f²-2f²-7f² -10-1
4f² - 11