Question

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 = \boxed{} a + \boxed{} b done

Explanation:

Step1: Identify profit per unit

Profit per A: $\$15$, Profit per B: $\$8$

Step2: Build total profit function

Total profit = (Profit per A $\times$ Units of A) + (Profit per B $\times$ Units of B)
$p = 15a + 8b$

Answer:

$p = 15a + 8b$
(The blanks are filled with 15 and 8, respectively.)