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 60 sets, inclusive, and that of the model B clubs is between 10 and 40 sets, inclusive. The total daily production is not to exceed 60 sets. How many sets of each model should be manufactured per day to maximize the pr

Answer 1

Step-by-step explanation:

Let n₁ and n₂ be the number of set produced of model A and B per day .

n₁ + n₂ = 60

20 < n₁ < 60

10 < n₂ < 40

Total profit Q = 45 n₁ + 55 n₂ = 45 n₁ + 55 ( 60 - n₁ )

Q = 3300 - 10 n₁

So to maximise total profit n₁ needs to be minimum . The minimum value of n₁ = 20

Q = 3300 - 10 x 20

= $ 3100

So model A should be produced 20 and model B should be produced 40 sets .