$($Please read carefully!

Enter the number with digits, not in letters. For example: enter $10,$ not Ten.

If there is a fraction to the number, do not enter unnecessary zeros. For example: enter $12\mathrm{.}5,$ not $12\mathrm{.}50.$

Do not enter commas. For example: enter $3850,$ not $3,850.$

Do not enter any extra spaces or other characters.

Questions are graded automatically. If you do not follow the formatting, then your answer will be graded wrong. If your answer is correct, I will be able to manually change your grade for those questions later, but you will lose $25\%$ of the points. NO EXCEPTIONS, in order to be fair to everyone in the class.$)$

Suppose the solver provides you the following sensitivity report for each of the following SUBSTITUTE resources, in order to maximize energy production in a power plant.

Final

Shadow

Constraint

Allowable

Allowable

Cell

Name

Value

Price

R$.$H$.$ Side

Increase

Decrease

$C$$4$

Wind

$50$

$2$

$50$

$10$

$10$

$C$$5$

Solar

$10$

$5$

$10$

$4$

$2$

$C$$6$

Coal

$16$

$0$

$20$

$1$E$+30$

$4$

$C$$7$

Nuclear

$45$

$1$

$45$

$15$

$5$

The current optimal object value, corresponding to the energy produced, is $200.$ Remember: the resources are SUBSTITUTE.

In the following questions if your answer is "exactly", then enter the same number. In other words, instead of "exactly $1000"$ enter $"$at least $1000$ and at most $1000".$

If we increase the capacity of Solar from $10$ to $15,$ the optimal solution will be at least

and at most

$.$

If we decrease the capacity of Coal from $20$ to $15,$ the optimal solution will be at least

and at most

$.$

If we simultaneously increase the capacities of Wind, Solar, Coal, and Nuclear from $(50,10,20,45)$ to $(55,12,23,50),$ then the objective will be at least

and at most

$.$

$($Enter B or N for binding or non$-$binding.$)$

Coal:

Nuclear: