Kevin is an auto mechanic. He spends 33 hours when he replaces the shocks on a car and 22 hours when he replaces the brakes. He works no more than 5454 hours a week. He routinely completes at least 44 shocks replacements and 66 brake replacements a week. If he charges $500500 for labor replacing shocks and $250250 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income?

Question

Business

Carl Soto

26 April, 07:32

Kevin is an auto mechanic. He spends 33 hours when he replaces the shocks on a car and 22 hours when he replaces the brakes. He works no more than 5454 hours a week. He routinely completes at least 44 shocks replacements and 66 brake replacements a week. If he charges $500500 for labor replacing shocks and $250250 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income?

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Jay · Answer 1

To maximize income, Kelvin should use 5445 hours to replace 165 shocks.

Explanation:

The number of hours taken for replacing the shocks is 1.5 times higher than replacing the brakes. (1.5 = 33 hours / 22 hours)

While the income from replacing the shocks is double / 2 times higher than replacing the brakes (2.0 = $500500/$250250)

It's viable that replacing the shocks is more effective in term of income compared to hours taken.

If Kevin use his maximum 5,454 hours a week for replacing the shocks, then he can replace 165 shocks and earn $82,582,500.

If the customer resource is unlimited, then it It is better to focus on replacing shocks only.