Question

Roger sells fire trucks and dolls to a toy store. He sells each fire truck for $15 and each doll for $10. Roger wants to sell at least 25 toys and needs to earn at least $300 to cover his costs. If each fire truck takes 50 minutes to make and each doll takes 45 minutes to make, how many fire trucks and dolls should Roger make to minimize the time spent making the toys? a) Roger should make 15 fire trucks and 10 dolls in order to minimize the time spent making toys. b) Roger should make 0 fire trucks and 25 dolls in order to minimize the time spent making toys. c) Roger should make 30 fire trucks and 0 dolls in order to minimize the time spent making toys. d) Roger should make 10 fire trucks and 15 dolls in order to minimize the time spent making toys.

Answer 1

This combination of making 15 fire trucks and 10 dolls meets the requirements of selling at least 25 toys and earning at least $300 while minimizing the time spent making the toys.

Explanation:

To minimize the time spent making toys while meeting the requirements of selling at least 25 toys and earning at least $300, Roger should make 15 fire trucks and 10 dolls.

Let's calculate the total time spent making the toys and the total earnings for this combination:

- Making 15 fire trucks at 50 minutes per fire truck: 15 * 50 = 750 minutes

- Making 10 dolls at 45 minutes per doll: 10 * 45 = 450 minutes

The total time spent making the toys is 750 + 450 = 1200 minutes.

Now let's calculate the total earnings:

- Selling 15 fire trucks at $15 per fire truck: 15 * $15 = $225

- Selling 10 dolls at $10 per doll: 10 * $10 = $100

The total earnings from selling the toys is $225 + $100 = $325.

This combination of making 15 fire trucks and 10 dolls meets the requirements of selling at least 25 toys and earning at least $300 while minimizing the time spent making the toys.