a company produces two products, a and b. at least 30 units of product a and at least 10 units of product b…

a company produces two products, a and b. at least 30 units of product a and at least 10 units of product b must be produced. the maximum number of units that can be produced per day is 80. product a yields a profit of $15 and product b yields a profit of $8. let a = the number of units of product a and b = the number of units of product b. what objective function can be used to maximize the profit? p = 15 a+8 b complete the vertices of the feasible region are (70, 10), (30, 10), and (30, 50). to maximize the profit, the company should produce units of product a and units of product b. the maximum profit is $ done

a company produces two products, a and b. at least 30 units of product a and at least 10 units of product b must be produced. the maximum number of units that can be produced per day is 80. product a yields a profit of $15 and product b yields a profit of $8. let a = the number of units of product a and b = the number of units of product b. what objective function can be used to maximize the profit? p = 15 a+8 b complete the vertices of the feasible region are (70, 10), (30, 10), and (30, 50). to maximize the profit, the company should produce units of product a and units of product b. the maximum profit is $ done

Answer

Answer:

70, 10, 1130

Explanation:

Step1: Define the objective function

$P = 15a+8b$

Step2: Evaluate at vertices

For $(70,10)$: $P=15\times70 + 8\times10=1050 + 80=1130$ For $(30,10)$: $P=15\times30+8\times10 = 450+80=530$ For $(30,50)$: $P=15\times30 + 8\times50=450+400 = 850$

Step3: Determine maximum

The maximum value of $P$ is 1130 when $a = 70$ and $b = 10$.