20.1 George runs a cookie factory. His cookies are made with sugar, peanut oil,

Question

20.1 George runs a cookie factory. His cookies are made with sugar, peanut oil, and soybean oi The number of boxes of cookies that he produces is f(su. po, so)u, po + 2so where su is the number of bags of sugar, po the number of canisters of peanut oil, and so the number of canisters of soybean oil that he uses. The price of a bag of sugar is 11. The price of a canister of peanut oil is 6. oil is 20. If George makes 254 boxes of cookies in the cheapest way possible, how many canisters of soybean oil will he use? The price of a canister of soy bean (a) 127 (b) 0 (c) 84.67 (d) 169.33 (e) 42.33

Explanation / Answer

First, we have to understand the question in its entirety. The cookies are made of sugar, peanut oil, and soybean oil at George's factory. The question also has mentioned that he produces those cookies with the below function:

f(su,po,so) = min {su,po+2so}

Sugar is an important ingredient in cookies which cannot be neglected. With a cost of $11, it must be invested and used. There are two other ingredients canister of peanut oil and soybean oil with a cost of $6 and $20 respectively. The question says that George made those 254 boxes of cookies in the cheapest way possible, we need to underline the word "cheapest." So it means that peanut oil and soybean oil are substitutes and George has used peanut instead of soybean oil since it costs $14 less. The cheaper peanut oil costs help us to remove soybean oil from the equation. Hence the answer is b. There were zero canisters of soybean oil used in the cookies.

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.