An amateur toy maker produces dolls and cars. She can make at most 30 total toys in her spare time in a month. She wants to make at least 4 dolls and 4 cars each month but no more than 10 cars. At the local toy store where she sells her toys, she makes a profit of $25 per doll and $16 per car sold. a) How many of each type of toy should be produced to

maximize her profit? b) What is the maximum profit?

Question

Dayton Werner

Mathematics

16 November, 14:21

An amateur toy maker produces dolls and cars. She can make at most 30 total toys in her spare time in a month. She wants to make at least 4 dolls and 4 cars each month but no more than 10 cars. At the local toy store where she sells her toys, she makes a profit of $25 per doll and $16 per car sold. a) How many of each type of toy should be produced to

maximize her profit? b) What is the maximum profit?

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Answers (1)

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Lyla Potts · Answer 1

4 cars, 26 dolls

$714

Step-by-step explanation:

She can make maximum 30 toys

Max 10 cars, then 20 dolls can be made

4 dolls and 4 cars min is the limitation

If she makes 10 cars and 20 dolls, then profit is:

10*$16+20*$25 = $660

Since cars bring less profit than dolls, the min number of cars = 4, then max number of dolls = 30 - 4 = 26,

Then profit is:

4*$16+26*$25 = $714