patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B,, and 40 mg of vitamin C. He can choose between pill 1, which ontains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B1, and 20 mg of vitamin C. Pill 1 osts 15¢, and pill 2 costs 45¢. Complete parts a and b below. ..... .How many of each pill should he buy in order to minimize his cost? What is the minimum cost? le should buy of pill 1 and of pill 2. The minimum cost is $ Simplify your answers. Type integers or decimals.)

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A patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1, which
contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B,, and 20 mg of vitamin C. Pill 1
costs 15¢, and pill 2 costs 45¢. Complete parts a and b below.
.....
a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost?
He should buy
of pill 1 and
of pill 2. The minimum cost is $
(Simplify your answers. Type integers or decimals.)
Transcribed Image Text:A patient takes vitamin pills. Each day he must have at least 210 IU of vitamin A, 15 mg of vitamin B1, and 40 mg of vitamin C. He can choose between pill 1, which contains 90 IU of vitamin A, 3 mg of vitamin B1, and 5 mg of vitamin C, and pill 2, which contains 30 IU of vitamin A, 3 mg of vitamin B,, and 20 mg of vitamin C. Pill 1 costs 15¢, and pill 2 costs 45¢. Complete parts a and b below. ..... a. How many of each pill should he buy in order to minimize his cost? What is the minimum cost? He should buy of pill 1 and of pill 2. The minimum cost is $ (Simplify your answers. Type integers or decimals.)
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 42 hours a
week. He routinely completes at least 4 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 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 and
brake replacements every week to maximize his weekly income.
Transcribed Image Text: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 42 hours a week. He routinely completes at least 4 shocks replacements and 6 brake replacements a week. If he charges $400 for labor replacing shocks and $200 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 and brake replacements every week to maximize his weekly income.
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