A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, and 2 units of fat, and will contain 30 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 10 units of carbohydrates, and no more than 18 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories?

asked by Pierce

6 years ago

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1 answer

you want to minimize c=30f+40n subject to
0f+2n >= 4
3d+2n >= 10
2f+4n <= 18
plot the lines and evaluate c at the vertices.

answered by oobleck

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Question

A dietician is planning a snack package of fruit and nuts. Each ounce of fruit will supply zero units of protein, 3 units of carbohydrates, and 2 units of fat, and will contain 30 calories. Each ounce of nuts will supply 2 units of protein, 2 units of carbohydrates, and 4 units of fat, and will contain 40 calories. Every package must provide at least 4 units of protein, at least 10 units of carbohydrates, and no more than 18 units of fat. Find the number of ounces of fruit and number of ounces of nuts that will meet the requirement with the least number of calories. What is the least number of calories?

1 answer

you want to minimize c=30f+40n subject to
0f+2n >= 4
3d+2n >= 10
2f+4n <= 18
plot the lines and evaluate c at the vertices.

Ask a New Question or answer this question.

oobleck · Accepted Answer

you want to minimize c=30f+40n subject to 0f+2n >= 4 3d+2n >= 10 2f+4n <= 18 plot the lines and evaluate c at the vertices.