WILL GIVE BRAINLIEST!
A hospital dietician wishes to prepare a corn-squash vegetable dish that will provide at least three grams of protein and cost no more than $.35 per serving. An ounce of cream corn provides 1/2 gram of protein and costs $.04. An ounce of squash supplies 1/4 gram of protein and costs $.03. For taste, there must be at least two ounces of corn and at least as much squash as corn. It is important to keep the total number of ounces in a serving as small as possible. Find the combination of corn and squash that will minimize the amount of ingredients used per serving.

Respuesta :

Answer:

4 ounces of corn and 4 ounces of squash

Step-by-step explanation:

Let S be the no. of ounces of squash

Let C be the no. of ounces of corn

C》2 --> (A)

S》C --> (B)

Total protein 》 3

½C + ¼S》3 --> (C)

Solve A and C simultaneously

½(2) + ¼S = 3

¼S = 2

S = 8

C = 2, S = 8

Solve B and C simultaneously

½S + ¼S = 3

¾S = 3

S = 4

C = 4, S = 4

Three possible extreme combinations

C = 2, S = 8: Total = 10

C = 4, S = 4: Total = 8

Minimum is 8 ounces