Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

Remsen Hot Dogs, Inc. has determined that its targeted after-tax earnings should

ID: 2458722 • Letter: R

Question

Remsen Hot Dogs, Inc. has determined that its targeted after-tax earnings should be at least $35,000. The company's estimated tax liability on its income is projected to be $52,000. The industry average contribution margin for hot dog sales is 70%. Based on this information, determine the following. What dollar amount of sales must be achieved to teach the goal if fixed costs are $110,0007 How would your answer in #1 (above) change if taxes were $45,000 instead of $52,000 (assume fixed costs are still #13,000)? How many more or fewer hot dogs must be sold?. If instead the company's revenues per unit are $5, variable costs per unit are $1, what dollar amount of sales would be needed to cam $200,000 after-tax income if fixed costs ate $110,000 and taxes are $35,000? What is the contribution margin ratio in #3 (above)?

Explanation / Answer

Q. 1). Earnings before Tax = Earnings after Tax + Tax liability

= 350000 + 52000

= $ 402000

   Contribution = Earnings before tax + Fixed costs

   = 402000 + 130000

= $ 532000

   The amount of sales must be achieved to reach the goal if fixed costs are $ 130000:-

   = 532000 / 70 %

   = $ 760000

Conclusion:- 1) Sales = $ 760000

Q. 2). If Taxes were $ 45000 instead of $ 52000 in Part 1.

  Earnings before Tax = Earnings after Tax + Tax liability

= 350000 + 45000

= $ 395000

   Contribution = Earnings before tax + Fixed costs

   = 395000 + 130000

= $ 525000

     The amount of sales must be achieved to reach the goal if fixed costs are $ 130000:-

   = 525000 / 70 %

   = $ 750000

     Conclusion:- 2) Sales = $ 750000 (If Taxes were $ 45000 instead of $ 52000 in Part 1.)

Q. 3.)

Sales [ 100 * 345000 / 80 ]

(-) Variable Costs [ 431250 - 345000 ]

431250

86250

Contribution [ 235000 + 110000 ]

(-) Fixed Costs

345000

110000

Earnings before tax (EBT) [200000 + 35000 ]

(-) Taxes

235000

35000

Conclusion:- 3) The dollar amount of sales needed = $ 431250

Q.4. Contribution margin ratio in Q. 3. = Sales - Variable costs / Sales

   = 5 - 1 / 5

   = 4/5

   = 0.80 i.e. 80 %

Sales [ 100 * 345000 / 80 ]

(-) Variable Costs [ 431250 - 345000 ]

431250

86250

Contribution [ 235000 + 110000 ]

(-) Fixed Costs

345000

110000

Earnings before tax (EBT) [200000 + 35000 ]

(-) Taxes

235000

35000

Earnings after Tax (Given) 200000