Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a ca

Question

Kevin is an auto mechanic. He spends 2 hours when he replaces the shocks on a car and 2 hours when he replaces the brakes. He works no more than 48 hours a week. He routinely completes at least 2 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $300 in labor for replacing brakes, how many jobs of each type should he complete a week to maximize his income? Kevin should do shock replacements andbrake replacements every week to maximize his weekly income

Explanation / Answer

In the given data kevin works for 48 hours a week and it takes 2 hours for both either shock replacement or brake replacement. But he charges differnt labour charges for either of the replacements. The amount charges for shock replacement is more than brake replacements, so he has to do more shock replacements than brake replacements to maximise his earnings.

It also says that he will do routinely at-least 2 shock replacements and 6 brake replacement. By this we can say that he can do 24 replacements( 48 hrs / 2 hrs ) that may be brakes or shocks or both but they said he will do atleast 6 brake replacements in a week .

So Kevin, the auto mechanic has to do 18 SHOCK replacements and 6 BRAKE replacements to maximise his earnings

so his earnings would be :

REPLACEMENT

NUMBER OF REPLACEMENT

AMOUNT CHARGED

EARNINGS

Shocks

18

$400

$7200

Brakes

6

$300

$1800

HIS TOTAL EARNINGS WOULD BE $9000

Related Questions

Navigate

• Browse (All)
• Browse K
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.