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Cost-Based Pricing and Markups with Variable Costs Compu Services provides computerized inventory consulting. The office and...

Cost-Based Pricing and Markups with Variable Costs

Compu Services provides computerized inventory consulting. The office and computer expenses are $400,000 annually and are not assigned to specific jobs. The consulting hours available for the year total 20,000, and the average consulting hour has $20 of variable costs.

(a) If the company desires a profit of $140,000, what should it charge per hour? $Answer

(b) What is the markup on variable costs if the desired profit is $160,000?

c) If the desired profit is $160,000, what is the markup on variable costs to cover (1) unassigned costs and (2) desired profit?

Markup to cover unassigned costs Answer %

Markup to cover desired profits Answer %

Homework Answers

Answer #1

Unassigned Cost = Fixed Cost = TCF = $ 400000, Variable Cost = $ 20 per hour and total consulting hours = 20000 annually

Therefore, Total Variable Cost = TVC = 20000 x 20 = $ 400000

Let the per hour consulting charge be $ P

Desired Profit = $ 140000

Therefore, P x 20000 - (TVC + TFC) = 140000

P x 20000 - 800000 = 140000

P = (940000/20000) = $ 47

Let the markup on the variable cost be $ K

Therefore, (K+20) x 20000 - (TVC + TCF) = 160000

20000K + 400000 - 800000 = 160000

K = 560000 / 20000 = $ 28

Let the markup to cover fixed cost be $ K1

Then , (K1+20) x 20000 - 400000 = 400000

K1 = (400000/20000) = $ 20

Markup % to cover unassigned cost = (20/ 20) x 100 = 100 %

Markup % to cover desired profit = (28/20) x 100 = 140 %

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