solve the linear programming problem

Question

A manufacturer of golf clubs makes a profit of $45 per set on a model A set and $55 per set on a model B set. Daily production of the model A clubs is between 20 and 50 sets, inclusive, and that of the model B clubs is between 10 and 30 sets, inclusive. The total daily production is not to exceed 50 sets. How many sets of each model should be manufactured per day to maximize the profit? f

Answer 1

Objective profit function is 45A + 55B

20 <= A <= 50

10 <=B <= 30

A+B <=50

(20,30) -->2550 <---- makes sense.... maximize the higher price

(40,10) ---> 2350

(20,10) --> 1450