Stone Age Surfboards Is a Small Manufacturer of Two Types

question 29

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

• A) 2
• B) 5
• C) 7
• D) 10

---

Definitions:

Sales Forecast

An estimation of the sales revenue a company expects to achieve in a future period under a given set of conditions.

Financial Planning

Financial planning involves evaluating one's current financial status and making strategies to achieve future goals and financial stability.

Prosper

Prosper generally refers to achieving success or flourishing, especially in financial terms or in one's personal development.

Grow

The process of increasing in size, quantity, value, or strength over time.