Write the constraint inequalities for this situation: A cheeseburger (x) requires 5 oz of meat and 0.7 oz of cheese and a superburger (y) requires 7 oz of meat and 0.6 oz of cheese. The burger stand has 350 oz of meat and 42 oz of cheese available. The profit on a cheeseburger is 10 cents and the profit on a superburger is 40 cents.
A) 5x + 7y$\le$ 350, 0.7 x + 0.6y $\le$ 42, x $\ge$ 0, y $\ge$ 0
B) 5x + 0.7y $\le$ 10, 7 x + 0.6y $\le$ 40, x $\ge$ 0, y $\ge$ 0
C) 5x + 7y $\le$ 10, 0.7 x + 0.6y $\le$ 40, x$\ge$ 0, y $\ge$ 0
D) 70x + 50y $\le$ 350, 60 x + 70y $\le$ 42, x $\ge$ 0, y $\ge$ 0

Question

Write the constraint inequalities for this situation: A cheeseburger (x) requires 5 oz of meat and 0.7 oz of cheese and a superburger (y) requires 7 oz of meat and 0.6 oz of cheese. The burger stand has 350 oz of meat and 42 oz of cheese available. The profit on a cheeseburger is 10 cents and the profit on a superburger is 40 cents.
A) 5x + 7y$\le$ 350, 0.7 x + 0.6y $\le$ 42, x $\ge$  0, y $\ge$  0
B) 5x + 0.7y $\le$ 10, 7 x + 0.6y $\le$ 40, x $\ge$  0, y $\ge$  0
C) 5x + 7y $\le$ 10, 0.7 x + 0.6y $\le$ 40, x$\ge$ 0, y $\ge$  0
D) 70x + 50y $\le$ 350, 60 x + 70y $\le$ 42, x $\ge$  0, y $\ge$ 0

Quizplus · Accepted Answer

The constraint inequalities are:
- 5x + 7y ≤ 350 (the amount of meat available)
- 0.7x + 0.6y ≤ 42 (the amount of cheese available)
- x ≥ 0 (non-negative amount of cheeseburgers)
- y ≥ 0 (non-negative amount of superbudgers)

Option A has the correct constraint inequalities and represents the appropriate constraints for this problem. The objective function would be to maximize profit, which is not shown in the options.

Write the Constraint Inequalities for This Situation: a Cheeseburger (X) ≤\le≤

Write the Constraint Inequalities for This Situation: a Cheeseburger (X) $\le$