Question

Tracey runs a store that sells fancy chocolates. Each batch ofBlack Hole Dark Truffles takes 6 ounces of cocoa and 20 ounces of cream. Each batch ofMint Cream Breezes requires 12 ounces of cocoa, and 8 ounces of cream. The store needs to immediately use 312 ounces of cocoa and 400 ounces of cream. If each batch ofBlack Hole Dark Truffles costs $7 in expenses, and each batch ofMint Cream Breezes costs $9, we want to know how many of each of the fancy chocolates Tracey should have the store make to have the least expenses. Which of the following are the constraint(s) in this situation?

a) 6B+12M≥312
b) B≥7
c) E=7B+9M
d) M≥9
e) 7B+9M≥16
f) 6c+20c≥312
g) 20B+8M≥400
h) 12c+8c≥400
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Answer 1

The constraints in this situation are: 6B+12M≥312, B≥7, 6C+20C≥312, and 20B+8M≥400.

Step-by-step explanation:

The constraint(s) in this situation are:

a) 6B+12M≥312: This constraint represents the total amount of cocoa Tracey needs to use, which is 312 ounces.b) B≥7: This constraint represents the minimum number of batches of Black Hole Dark Truffles that Tracey should make, which is 7 batches.f) 6C+20C≥312: This constraint represents the total amount of cream Tracey needs to use, which is 400 ounces.g) 20B+8M≥400: This constraint represents the minimum number of batches of Mint Cream Breezes that Tracey should make, which is 9 batches.