Stone Age Surfboards Is a Small Manufacturer of Two Types

question 30

Multiple Choice

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. $\begin{array}{|l|l|l|l|l|}\hline & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & \text { Stone Age Surfboards } & & & \\\hline 2 & & & & \\\hline 3 & \text { Data } & & & \\\hline 4 & & &{\text { Product }} & \\\hline 5 & \text { Department } & \text { Graystone } & \text { Lava } & \text { Limitations (hours) } \\\hline 6 & \text { Fabrication } & 2.5 & 4.2 & 74 \\\hline 7 & \text { Finishing } & 2 & 3.6 & 30 \\\hline 8 & & & \\\hline 9 & \text { Profit/Unit } & \$ 40.00 & \$ 60.00 \\\hline 10 & & & \\\hline 11 & & & \\\hline 12 & \text { Model } & & \\\hline 13 & & \text { Graystone } & \text { Lava } & \\\hline 14 & \text { Quantity Produced } & & & \text { Hours Used } \\\hline 15 & \text { Fabrication } & & & \\\hline 16 & \text { Finishing } & & & \\\hline 17 & & & & \\\hline 18 & & & & \text { Excess Lava } \\\hline 19 & \text { Market Mixture } & & & \\\hline 20 & & & & \\\hline 21 & && & \text { Total Profit } \\\hline 22 & \text { Profit Contribution } & & & \\\hline\end{array}$
-Which of the following constraints Solver uses?

• A) $B$14:$C$14 = integer
• B) $D$15 > = $D$6
• C) $D$16 > = $D$7
• D) $D$19 < = 0

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Definitions:

Efficiency

The ability to accomplish a task or produce an output with a minimum amount of waste, expense, or unnecessary effort.

Supervisor Wages

The compensation, often hourly or salaried, paid to individuals in supervisory positions for overseeing the work of others.

Factory

A factory is an industrial site where workers manufacture goods or operate machines processing one product into another, typically involving large-scale production methods and specialized equipment.

Australian Accounting Standards

A set of principles and rules that guide financial reporting and accounting practices in Australia.