A farming cooperative mixes two brands of cattle feed.Brand X costs $30 per bag, and brand Y costs $25 per bag.Research and available resources have indicated the following constraints. Brand X contains two units nutritional element A, two units of element B, and two units of element C.
Brand Y contains one unit of nutritional element A, nine units of element B, and three units of element C.
The minimum requirements for nutrients A, B, and C are 12 units, 36 units, and 24 units, respectively.
What is the optimal number of bags of each brand that should be mixed? What is optimal cost?
A) To minimize cost, use three bags of brands X and six bags of brand Y for optimal an cost of $540.
B) To minimize cost, use three bags of brands X and six bags of brand Y for optimal an cost of $320.
C) To minimize cost, use three bags of brands X and six bags of brand Y for optimal an cost of $240.
D) To minimize cost, use three bags of brands X and six bags of brand Y for optimal an cost of $300.
E) To minimize cost, use three bags of brands X and six bags of brand Y for optimal an cost of $360.

Question

Quizplus · Accepted Answer

The optimal solution is to use three bags of brand X and six bags of brand Y, which satisfies all nutritional constraints and results in a cost of $240 (3*$30 + 6*$25).

A Farming Cooperative Mixes Two Brands of Cattle Feed