Consider the Spreadsheet for Stone Age Surfboards Provided Below -What Is the Total Number of Hours Used for Fabrication

question 9

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 total number of hours used for fabrication?

• A) 54.5
• B) 30.0
• C) 35.5
• D) 43.8

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Definitions:

Least Squares Method

A statistical technique used to determine the line of best fit by minimizing the sum of the squares of the distances of the points from the line.

SSE

The sum of squared errors, a measure used in statistical analysis to quantify the variation or dispersion of data points around a fitted line or curve.

Slope

The rate of change in the variable on the y-axis per unit change in the variable on the x-axis in a coordinate plane, indicative of the steepness of a line.

Regression Line

A regression line is a straight line that best describes the data on a scatter plot, providing the best fit for the relationship between the independent and dependent variables.