a. Determine the objective coefficients ranges. Round your answers to two decimal places. Objective Coefficient RangeVariablelower limitupper limitRegular Glove4 12 Catcher’s Mitt3.33 10 b. Interpret the ranges in part (a).

c. Interpret the right-hand-side ranges. If there is no lower or upper limit, then enter the text "NA" as your answer.Round your answers to two decimal places. Enter "0" if your answer is zero.

3. Problem 3-03Consider the following linear program:Min8X + 12Ys.t.1X + 3Y ≥ 92X + 2Y ≥ 106X + 2Y ≥ 18X, Y ≥ 0a. Choose the correct graph which represents the optimal solution. 725 NA Finishing133.33 400 Packaging and Shipping75 135

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. d. How much will the value of the optimal solution improve if 20 extra hours of packaging and shipping time aremade available?

Problem 3-03Consider the following linear program:Min8X + 12Ys.t.1X + 3Y ≥ 92X + 2Y ≥ 106X + 2Y ≥ 18X, Y ≥ 0a. Choose the correct graph which represents the optimal solution.

(iii)(iv)b. Assume that the objective function coefficient for X changes from 8 to 6. Does the optimal solution change? Use thegraphical solution procedure to find the new optimal solution. If required, round your answers to the nearest wholenumber. X3✔Y2✔Optimal solution42✔c. Assume that the objective function coefficient for X remains 8, but the objective function coefficient for Y changes from 12to 6. Does the optimal solution change? Use the graphical solution procedure to find the new optimal solution. If required,round your answers to the nearest whole number. Graph (iv)✔The same extreme point remains optimal✔