Linear Programming Answers

Let x represent the number of chairs and y represent the number of sofas. Choose the function that represents the manufacturer’s profit, P.

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The profit function is P = 50x + 80y, where x represents the number of chairs and y represents the number of sofas.

X 0 6✔ 1215

The manufacturer can earn a maximum profit of by producing chairs and sofas.

X: 4 units of A and 5 units of B per hour Y: 3 units of A and 10 units of B per hour Cost to run machine X:$22/hr Cost to run machine Y:$25/hr x=number of hours machine X runs y=number of hours machine Y runs The objective function is C = x + y. The minimum cost is $ and occurs at .

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Which graph shows the feasible region for constraints x [image 1] 1; y [image 2] 1; y [image 3] 2x; y [image 4] –x + 15; y [image 5] –5x + 16; and y [image 6] –x + 9?

What are the vertices of the feasible region? Select four options..

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$0.848.4084✔ 840

✔ 3,000X 5,0008,000X 14,000

1,000✔ 6,00010,000

X 1,000✔ 7,000

x + y 800.4x + 0.5y 1006x + 4y 7202x + 4y 4006x + 2y 7204x + 4y 400

A manufacturer produces two types of bottled coffee drinks: cappuccinos and cafés au lait. Each bottle of cappuccino requires 6 ounces of coffee and 2 ounces of milk and earns a profit of $0.40. Each bottle of café au lait requires 4 ounces of coffee and 4 ounces of milk and earns a profit of $0.50. The manufacturer has 720 ounces of coffee and 400 ounces of milk available for production each day. To meet demand, the manufacturer must produce at least 80 coffee drinks each day. Let x = the number of cappuccino bottles and y = the number of café au lait bottles.