The pair of inequalities that represents the given constraints is option C. x ≤ 2y + 500 and 35x + 50y > 22,500.
The pair of inequalities that represents the given constraints is option C. x ≤ 2y + 500 and 35x + 50y > 22,500.
The first constraint states that the number of units of product A (x) should be at most 500 units more than twice the number of units of product B (y).
This is represented by the inequality x ≤ 2y + 500.
The second constraint states that the square of the company's profit is equal to the sum of 35 times the number of product A units sold and 50 times the number of product B units sold.
This is represented by the inequality 35x + 50y > 22,500.
The probable question may be:
A company manufactures two products. Market research and available resources require the following constraints:
• The number of units of product A manufactured, x, is at most 500 units more than twice the number of units of product B, y.
• The square of the company's profit is equal to the sum of 35 times the number of product A units sold and 50 times the number of product B units sold.
If the company expects weekly profits to exceed $22,500, which pair of inequalities represents these constraints?
A.x < 2y+500
\sqrt{35x+50y}> 150
B. x< 2y+500
\sqrt{35x+50y}> 22, 500
C. x<=2y+500
35x+50y >22, 500
D. x>2y+500
\sqrt{35x+50y}> 22,500