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Managers of Tom Brown Distributors are evaluating the compensation system for the company"s sales personnel. Currently, the two salespeople have a combined salary of $60,000 per year and earn a 3%...

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Managers of Tom Brown Distributors are evaluating the compensation system for the company"s sales personnel. Currently, the two salespeople have a combined salary of $60,000 per year and earn a 3% sales commission. The company is considering two alternatives to the current compensation system. The first alternative is to reduce total salaries to $50,000 and increase the sales commission to 5%. The second alternative is to eliminate the salaries and pay a 12% sales commission. Sales projections under each of the compensation systems are as follows:

Current system

$1,000,000

Salary and 5% commission

$1,120,000

12% commission

$1,200,000

Required

  1. Write the cost equations for the current compensation system and both alternative compensation structures.
  2. Given Tom Brown"s sales projections, and assuming that the cost of goods sold is equal to 30% of sales, which pay system would be the most profitable one for the company? Ignore all other costs and show your calculations.
Answered Same Day Dec 24, 2021

Solution

David answered on Dec 24 2021
112 Votes
The cost equation under different alternatives
Y= a +bx
Where y = total cost
a = fixed cost
= variable cost
x= no. of units .
under cu
ent situation ,
y = 60000+ 0.03*1000000
alternative 1
y = 50000 + .05 * 1120000
alternative 2
y= 0+ 0.12 * 1200000
statement showing...
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