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Stone Age Surfboards Is a Small Manufacturer of Two Types

question 45

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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 works9.25 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.
Use the spreadsheet below for Stone Age Surfboards to answer the following question(s) using integer constraints on variables in the optimization models using the standard Solver.  A  B  C  D 1 Stone Age Surfboards 23 Data 4 Product 5 Department  Graystone  Lava  Limitations (hours)  6 Fabrication 2.54.2747 Finishing 23.63089 Profit/Unit $40.00$60.00101112 Model 13 Graystone  Lava 14 Quantity Produced  Hours Used 15 Fabrication 16 Finishing 1718 Excess Lava 19 Market Mixture 2021 Total Profit 22 Profit Contribution \begin{array}{|l|l|l|l|l|}\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 { Limitations (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 { Quantity Produced } & & & \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 { Profit Contribution } & & & \\\hline\end{array}
-What is the total number of hours used for the finishing operation?


Definitions:

Behavioral Contrast

occurs when a change in the conditions of reinforcement for one behavior leads to a change in the rate of responding for another behavior.

Disinhibition

The process by which a suppressed behavior is re-expressed following the removal or reduction of inhibition or restraint.

Habituation

The psychological process where there is a decrease in response to a stimulus after being repeatedly exposed to it, signifying a form of learning or adaptation.

Sensitization

A process by which a person becomes increasingly responsive or sensitive to a stimulus after repeated exposure to it.

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