Rizzo Goal Inc. produces and sells hockey equipment, often custom made for online orders. The company has the following performance metrics on its balanced scorecard: days from ordered to delivered, number of shipping errors, customer retention rate, and market share. A measure map illustrates that the days from ordered to delivered and the number of shipping errors are both expected to directly affect the customer retention rate, which affects market share. Additional internal analysis finds that: Every shipping error over three shipping errors per month reduces the customer retention rate by 1.5%. On average, each day above three days from ordered to delivered yields a reduction in the customer retention rate of 1%. Each day before three days from order to delivery yields an increase in the customer retention rate of 1%, on average. Rizzo Goal Inc.’s current customer retention rate is 60%. The company estimates that for every 1% increase or decrease in the customer retention rate, market share changes 0.5% in the same direction. Rizzo Goal Inc.’s current market share is 21.4%. Ignoring any other factors, if the company has six shipping errors this month and an average of 3.5 days from ordered to delivered. a. Determine the new customer retention rate. fill in the blank 1 % b. Determine the new market share that Rizzo Goal Inc. expects to have. Round your answer to one decimal place.

Answer and Explanation:

The computation is shown below:

a. The new customer retention rate is

(a) the day above 3 days from order to delivery

= 3.5 - 3

= 0.5 days

And,

The reduction in customer retention rate is

= 0.5 ×  1%

= 0.5%

errors above three per month is

= 6 - 3  

= 3

The reduction in customer retention rate is

= 3 ×  1.5%

= 4.5%

So, the new customer retention rate is

= 60% - 0.5% - 4.5%

= 55%

(b) The total reduction in customer retention rate is

= 0.5 + 4.5

= 5.0%

The reduction in market share is

= 5% × 0.5

= 2.5%

Now

New market share is

= 21.4% - 2.5%

= 18.9%

A major concern with Social Security is the possibility that funds will not be available when today’s tax-payers retire to become beneficiaries. According to the Social Security Trustee’s report, an increase of 1.89% in the Social Security payroll tax would keep the account full for the next 75 years. To achieve similar results, benefits would have to be decreased from the current 42% of the ending salary to 29% of the salary. Cindy is relatively new to the workforce. She has 32 years until she can retire. Her current annual salary is $45,000. 1a) Calculate how much Cindy will have to pay in Social Security tax (6.2%) based on this salary. 1b) Calculate how much Cindy will have to pay in Social Security tax if the tax was increased by 1.89%. 2a) Calculate Cindy’s annual Social Security benefit (about 42%) if her salary remains unchanged until she retires (annual average is $45,000). 2b) Calculate Cindy’s annual Social Security benefit if her salary remains unchanged but benefits (based on her annual salary of $45,000) were cut from 42% to 29%. 3) If Cindy were given a choice between the increase in Social Security tax now or the decrease in Social Security benefits when she retires, which would you recommend she choose? Explain your answer thoroughly.