Linear Programming Problem: An industrial supply retail firm sells two types of parts, A and B. The store owner pays $8 and $14 for each one unit of part A and B respectively. One unit of part A yields a profit of $2 while a unit of part B yields a profit of $3. The retailer estimates that no more than 2,000 parts will be sold every month and the retailer does not plan to invest more than $20,000 in inventory of these particular parts. How many units of each type should be stocked in order to maximize his monthly total profit? CONSTRAINTS: X = total number of part A Y = total number of part B X+Y$ 2,000 P(total profit) = 2X + 3Y 8 x + 14 y s 20,000 of part A, and part B, respectively, to yield the maximum profit The number(s) of is