Consider the Spreadsheet for Stone Age Surfboards Provided Below -If the Unit Profit on Graystone Surfboards Is Increased by This

question 31

Multiple Choice

Consider the spreadsheet for Stone Age Surfboards provided below. Use this data to answer the following question(s) , using the Standard Solver.
Stone Age Surfboards is a small manufacturer of two types of popular low-tide surfboards, the Graystone and the Lava models. The manufacturing process consists of two departments: fabrication and finishing. The fabrication department has 8 skilled workers, each of whom works
9.25 hours per day. The finishing department has 5 workers, each of whom works a 6-hour shift per day. Each pair of Graystone surfboards requires 2.5 labor hours in the fabrication department and 2 labor hours in finishing. The Lava model requires 4.2 labor-hours in fabrication and 3.6 labor-hours in finishing. The company operates 6 days a week. It makes a per unit profit of $40 on the Graystone model and $60 on the Lava model. The company anticipates selling at least twice as many Lava models as Graystone models. $\begin{array}{|c|c|c|c|c|}\hline & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & \text { Stone Age Surfboards } & & & \\\hline 2 & & & & \\\hline 3 & \text { Data } & & & \\\hline 4 & &&{\text { Product }} & \\\hline 5 & \text { Department } & \text { Graystone } & \text { Lava } & \text { Limitation (hours) } \\\hline 6 & \text { Fabrication } & 2.5 & 4.2 & 74 \\\hline 7 & \text { Finishing } & 2 & 3.6 & 30 \\\hline 8 & & & & \\\hline 9 & \text { Profit/Unit } & \$ 40.00 & \$ 60.00 & \\\hline 10 & & & \\\hline 11 & & & \\\hline 12 & \text { Model } & & \\\hline 13 & & \text { Graystone } & \text { Lava } \\\hline 14 & \text { QuantityProduced } & & & \text { Hours Used } \\\hline 15 & \text { Fabrication } & & & \\\hline 16 & \text { Finishing } & & & \\\hline 17 & & & & \\\hline 18 & & & & \text { Excess Lava } \\\hline 19 & \text { Market Mixture } & & & \\\hline 20 & & & & \\\hline 21 & & & & \text { Total Profit } \\\hline 22 & \text { ProfitContribution } & & & \\\hline\end{array}$
-If the unit profit on Graystone surfboards is increased by $10, what is the shadow price for the finishing hours used?

• A) $ 18.48
• B) $ 17.39
• C) $ 15.42
• D) $ 14.15

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Definitions:

L-Erythrose

A four-carbon sugar, or tetrose, with the chemical formula C4H8O4, one of the simplest aldose configurations.

NaBH4

Sodium borohydride, a reducing agent widely used in organic chemistry for the reduction of aldehydes, ketones, and aldehydes to alcohols.

Alditol

A type of sugar alcohol resulting from the hydrogenation of an aldose, used in food as a low-calorie sweetener.

Anomers

Stereoisomers that differ in configuration only at the anomeric carbon in cyclic saccharides.