Question

Companies will occasionally sell products at a loss in order to draw in customers or as a reward to good customers. The theory is that customers will buy other products along with the discounted product and the net result will be a profit. Beguhn Industries sells five different products. For each unit of product sold, the company makes or loses the following: product A, makes 18 dollar; product B, loses S4; product C, makes 11 dollar; product D, makes 38 dollar; and product $\mathrm{E},$ loses 15 dollar. During the previous month, Beguhn Industries sold 127 units of product $A, 273$ units of product B, 201units of product C 377 units of product D and 43 units of product E. Calculate the profit or loss for the month.

Name: Problem 77, Chapter 10: Basic Mathematical Skills with Geometry
Uploaded: 2020-07-16T02:32:15-08:00
Duration: 1 min 28 s
Channel: Matt Gibson

   Companies will occasionally sell products at a loss in order to draw in customers or as a reward to good customers. The theory is that customers will buy other products along with the discounted product and the net result will be a profit.
Beguhn Industries sells five different products. For each unit of product sold, the company makes or loses the following: product A, makes 18 dollar; product B, loses S4; product C, makes 11 dollar; product D, makes 38 dollar; and product $\mathrm{E},$ loses 15 dollar. During the previous month, Beguhn Industries sold 127 units of product $A, 273$ units of product B, 201units of product  C 377 units of product  D and 43 units of product E. Calculate the profit or loss for the month.

Basic Mathematical Skills with Geometry

Stefan Baratto,… 8th Edition

Chapter 10, Problem 77

Instant Answer

Solved by Expert Matt Gibson

07/16/2020

Step 1

For product A, the profit is $127 \times 18 = 2286$ dollars. For product B, the loss is $273 \times -4 = -1092$ dollars. For product C, the profit is $201 \times 11 = 2211$ dollars. For product D, the profit is $377 \times 38 = 14326$ dollars. For product E, Show more…

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Companies will occasionally sell products at a loss in order to draw in customers or as a reward to good customers. The theory is that customers will buy other products along with the discounted product and the net result will be a profit. Beguhn Industries sells five different products. For each unit of product sold, the company makes or loses the following: product A, makes 18 dollar; product B, loses S4; product C, makes 11 dollar; product D, makes 38 dollar; and product $\mathrm{E},$ loses 15 dollar. During the previous month, Beguhn Industries sold 127 units of product $A, 273$ units of product B, 201units of product C 377 units of product D and 43 units of product E. Calculate the profit or loss for the month.

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Key Concepts

Unit Profit or Loss Calculation

This concept involves determining the profit or loss made on a single unit of each product. For each item, you compute the net gain or loss for one unit, which serves as the foundational element for evaluating overall performance.

Weighted Sum

A weighted sum in this context means multiplying the unit profit or loss by the number of units sold for each product, and then summing these results to find the total profit or loss. This approach recognizes that different products contribute unequally based on their sales volume.

Net Profit or Loss Calculation

This is the overall evaluation where the individual weighted profits and losses from each product are combined to determine the business’s total financial result for the period. It requires careful addition of both positive and negative contributions to assess overall performance.

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