Game Day Fashions makes custom t$-$shirts for fans of college university sports teams. Currently, the company is trying to determine the best way to fill an order it received from Sable University. The official colors of Sable University are orange and maroon, so most of the t$-$shirts it orders are for one of those two colors. However, one home game each year is designated as a $$white out$$ games where all Sable University fans are encouraged to wear white shirts. Sable University has placed an order for $50,000$ orange shirts, $45,000$ maroon shirts, and $30,000$ white shirts. Under the terms of the contract, the company is permitted to outsource as many as $25,000$ of each of the shirts from a competing company. Game Day Fashions can make the orange, maroon, and white shirts for $$7\mathrm{.}50,$ $$3\mathrm{.}00,$ and $$4\mathrm{.}00$ per unit, respectively. The company handling the outsourcing has agreed to make up to $25,000$ of each shirt color at a cost of $$9\mathrm{.}00,$ $$5\mathrm{.}00,$ and $$4\mathrm{.}75$ per unit for the maroon, orange, and white shirts, respectively. The following table summarizes the amount of time in seconds it takes Game Day's production department to make each shirt color. Operation Cutting Sewing Printing Seconds Required per Unit Orange Maroon White $15106471086$ Game Day has $200$ hours of cutting capacity available, $85$ hours of sewing, and $140$ hours of printing. The Excel model for this question can be found under 'Question$2.$xlms$\text{'}.$ Use the Sensitivity and Answer Reports to answer the following questions.

a$)$ Because none of the cells in the range $\{\_\_\_\_$ : $\_\_\_\_\}$ are $0,$ the solution is not degenerate.

b$)$ Because none of the cells in the range $\{\_\_\_\_$:$\_\_\_\_\}$ are $0,$ there are no alternate optimal solutions.

c$)$ The university wants $1000$ more maroon shirts. The allowable increase for maroon shirts is $\_\_\_\_\_\_\_$ so they can purchase $1000$ more shirts.

$$ The current OFV is $\_\_\_\_\_\_\_\_$

$$ The additional cost in maroon shirts is $\_\_\_\_\_\_\_\_\_$

$$ The new total cost will be $\_\_\_\_\_\_\_\_\_$

d$)$ Game Day is considering an increase Sewing capacity by $10$ hours. The allowable increase for Sewing hours is $\_\_\_\_\_\_\_.$ Only $\_\_\_\_\_\_\_\_$of the available $\_\_\_\_\_\_\_\_$ is used so there is excess sewing capacity.

If Game Day could increase its sewing capacity by $10$ hours, should they, do it$?$

I. No$,$ because $10$ is above the allowable increase for sewing capacity.

II$.$ No$,$ because the shadow price for sewing capacity is negative.

III. Yes, because the shadow price for sewing capacity is positive and $10$ is below the

allowable increase for sewing capacity.

IV$.$ No$,$ because there is already a surplus in sewing capacity.

V$.$ Yes, because although $10$ is above the allowable increase for sewing capacity, the shadow price for sewing capacity is positive.

e$)$ The company lost $10$ hours of Printing Capacity. $10$ hours is $\_\_\_\_\_\_\_\_\_\_$ seconds.

$$ They can decrease the Printing capacity by $\_\_\_\_\_\_\_\_\_\_$ seconds.

$$ But the shadow price is $\_\_\_\_\_\_\_\_$which means that the cost would increase.

$$ So$,$ the cost would increase by $\_\_\_\_\_\_\_\_\_$so they shouldn't decrease the amount

of printing time available.