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Agway Corp produces bags of organic soil mix from compost and topsoil. Each cubic foot of compost costs 12 cents and contains 3 pounds
Agway Corp produces bags of organic soil mix from compost and topsoil. Each cubic foot of compost costs 12 cents and contains 3 pounds of sand, 2 pounds of clay, and 5 pounds of humus. Each cubic foot of topsoil costs 16 cents and contains 4 pounds of sand, 6 pounds of clay and 11 pounds of humus. Each bag of organic soil must contain at least 14 pounds of sand, at least 13 pounds of clay, and at least 10 pounds of humus. The internal requirement is that there is at least 4 pounds of compost, but no more than 9 pounds of top soil in each bag. Find the best combination of compost and topsoil that meets the stated conditions at the lowest cost per bag a. How much compost is required in the bag of organic soil? [Select] b. How much topsoil is required in the bag of organic soil? [Select] c. What is the total cost? [Select] d. Do any ingredients exceed the minimum requirements (unused resources)? [Select] e. If the requirement for clay was increased by 3 pounds, what would the overall cost be? [Select] If so, which one(s) [Select]
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