A coffee company has some pure Colombian coffee and some special-blend coffee re

Question

A coffee company has some pure Colombian coffee and some special-blend coffee remaining. The practice of the company has been to package a mixture of the two coffees into 1 pound packages as follows: a low-grade mixture containing 4 ounces of Colombian coffee and 12 ounces of special-blend coffee, and high-grade mixture containing 8 ounces of Colombian and 8 ounces of special-blend coffee. A profit of $3 per package is made on the low-grade mixture, whereas a profit of $4 per package is made on the high-grade mixture. This month, 120 pounds of special-blend coffee and 100 pounds of pure Colombian coffee remain. How many packages of each mixture should be prepared to maximize the profit?

Explanation / Answer

At the end of every month, after filling orders for its regular customers, a coffee company has some pure Colombian coffee, and some special-blend coffee remaining. The practice of the company has been to package a mixture of the two coffees into ONE-pound packages as follows: a low-grade mixture containing 4 ounces of Columbian coffee and 12 ounces of special-blend coffee and a high-grade mixture containing 8 ounces of Colombian and 8 ounces of special-blend coffee. A profit of $0.30 per package is made on the low-grade mixture and a profit of $0.40 per package is made on the high-grade mixture. This month, 120 pounds of special-blend coffee and 100 pounds of pure Colombian coffee remain. How many packages of each mixture should be prepared to achieve a maximum profit? Assume that all packages prepared can be sold.

Related Questions

Navigate

• Browse (All)
• Browse A
• Subjects

---

---

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