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

Mathematics

Kaila Powell

9 September, 16:47

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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Reginald Hurley · 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