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# A produce grower is purchasing fertilizer containing three nutrients: A, B, and C. The minimum weekly requirements are 70 units of A, 120 of B, and 210 of C.

A produce grower is purchasing fertilizer containing three nutrients: A, B, and C. The minimum weekly requirements are 70 units of A, 120 of B, and 210 of C. There are two popular blends of fertilizer on the market. Blend 1, costing $3 a bag, contains 2 units of A, 6 of B, and 4 of C. Blend 2, costing$5 a bag, contains 3 units of A, 2 of B, and 10 of C. How many bags of each blend should the grower buy each week to minimize cost of meeting the nutrient requirement?

## 3 Answers By Expert Tutors

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Tutor
5 (1)

Francisco; Civil Engineering, Math., Science, Spanish, Computers.

Tutor
4.9 (318)

Francisco E.

I think that 15 bags of blend 1 will give you 30 units of A and 15 bags of mix 2 will give 45 that is greater than 70!!!!!!!!!. 15 bags of blend 1 will give 90 units of A and 15 bags of blend 2 will give 30 units of B the total will be 120 and with C we obtain 60 plus 150 is 210, you only failed in the element A!!!!!!!!!!!!!!
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06/15/14

tutor
I understand your reasoning sir, but the question asks for MINIMUM requirement. Therefore I think my answer would stand because the blends don't have to yield the exact amount of nutrient. It just needs the minimum which would denote an inequality & not an equation.
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06/15/14

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