e$.$ Suppose that an additional

$500500$

minutes of machine capacity is available. How will the optimal solution and profit$$ change? What if planned maintenance reduces capacity by

$200200$

$$minutes$?$

How will the optimal solution and profit change if an additional

$500500$

minutes of machine capacity is$$ available? Select the correct choice$$ and, if$$ necessary, fill in the answer$$ box$($es$)$ to complete your choice.

A$.$

The optimal solution and profit might$$ change, but their values cannot be determined.

B$.$

The optimal solution would not change. The profit would change to

$$$enter your response here.

$($Type integers or decimals rounded to two decimal places as$$ needed.$)$

C$.$

The optimal solution might$$ change, but the values cannot be determined. The profit would change to

$$$enter your response here.

$($Type integers or decimals rounded to two decimal places as$$ needed.$)$

D$.$

The optimal solution would not change. The profit would$$ change, but its value cannot be determined.

E$.$

The optimal solution would not change. The profit would not change.