Consider the Spreadsheet for Stone Age Surfboards Provided Below -What Is the Allowable Decrease in the Fabrication Hours Used

question 32

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. $\begin{array}{|c|c|c|c|c|}\hline & \text { A } & \text { B } & \text { C } & \text { D } \\\hline 1 & \text { Stone Age Surfboards } & & & \\\hline 2 & & & & \\\hline 3 & \text { Data } & & & \\\hline 4 & &&{\text { Product }} & \\\hline 5 & \text { Department } & \text { Graystone } & \text { Lava } & \text { Limitation (hours) } \\\hline 6 & \text { Fabrication } & 2.5 & 4.2 & 74 \\\hline 7 & \text { Finishing } & 2 & 3.6 & 30 \\\hline 8 & & & & \\\hline 9 & \text { Profit/Unit } & \$ 40.00 & \$ 60.00 & \\\hline 10 & & & \\\hline 11 & & & \\\hline 12 & \text { Model } & & \\\hline 13 & & \text { Graystone } & \text { Lava } \\\hline 14 & \text { QuantityProduced } & & & \text { Hours Used } \\\hline 15 & \text { Fabrication } & & & \\\hline 16 & \text { Finishing } & & & \\\hline 17 & & & & \\\hline 18 & & & & \text { Excess Lava } \\\hline 19 & \text { Market Mixture } & & & \\\hline 20 & & & & \\\hline 21 & & & & \text { Total Profit } \\\hline 22 & \text { ProfitContribution } & & & \\\hline\end{array}$
-What is the Allowable Decrease in the fabrication hours used?

• A) 26.84
• B) 16.67
• C) 8.33
• D) 38.46

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Definitions:

Confound

In an experiment, what occurs when two or more variables exert their influence at the same time, making it impossible to accurately establish the causal role of either variable.

Independent Variables

Factors in an experiment that are manipulated or changed by the researcher to observe their effects on dependent variables.

Dependent Variable

In research, the variable that is being measured or tested to see how it is influenced by changes in another variable (the independent variable).

Correlation Coefficients

Statistical measures that describe the size and direction of a relationship between two or more variables.