Question

Currently, you sell 40,000 units of a product for $45 each. The unit variable cost of...

  1. Currently, you sell 40,000 units of a product for $45 each. The unit variable cost of producing the product is $5. You are thinking of cutting the product price by 30 percent. You are sure this will increase sales by an amount from 10 percent to 50 percent. Perform a sensitivity analysis to show how profit will change as a function of the percentage increase in sales. Ignore fixed costs.

Homework Answers

Answer #2

New price = $45 x 70% = $31.5

Let new quantity be Q.

Profit = Q x (Selling price - Unit variable cost) = Q x (31.5 - 5) = Q x $26.5

Let us consider change in Q in intervals of 10%.

The sensitivity analysis is as follows.

(Original Q) (Q: Increase 10%) (Q: Increase 20%) (Q: Increase 30%) (Q: Increase 40%) (Q: Increase 50%)
Q = 40,000 Q = 44,000 Q = 48,000 Q = 52,000 Q = 56,000 Q = 60,000
Profit ($) 10,60,000 11,66,000 12,72,000 13,78,000 14,84,000 15,90,000
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