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?

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

126.66 m²

step-by-step explanation:

the pertinent area formula is a = πr², where r is the radius.

here, a = π(6.35 m)² = 40.32π, or approximately 126.66 m²