company is producing a high-volume item that sells for PhP 0.75 per unit. The variable production cost is PhP 0.30 per unit. The company is able to produce and sell 10,000,000 items per year when operating at full capacity. The critical attribute for this product is weight. The target value for weight is 1,000 grams, and the specification limits are set at +/- 50 grams. The filling machine used to dispense the product its capable weights following a normal distribution with an average (mu) of 1,000 grams and a standard deviation (sigma) of 40 grams. Because of the large standard deviation (with respect to the specification limits), 21.12% of all units produced are not within the specification limits. (They either weigh less than 950 grams or more than 1,050 grams) This means that 2,112,000 out of 10,000,000 units produced are nonconforming and cannot be sold without being reworked. Assume that nonconforming units can be reworked to specification at an additional fixed cost of PhP 0.10 per unit. Reworked units can be sold for PhP 0.75 per unit. It has been estimated that the demand for this product will remain at 10,000,000 units per year for the next five years. To improve the quality of this product, the company is considering the purchase of a new filling machine. The new machine will be capable of dispensing the product with weights following a normal distribution with average (mu) = 1,000 grams and standard deviation (sigma) = 20 grams. As a result, the percent of nonconforming units will be reduced to 1.24% of production. The new machine will

Principles of Accounting Volume 2
19th Edition
ISBN:9781947172609
Author:OpenStax
Publisher:OpenStax
Chapter3: Cost-volume-profit Analysis
Section: Chapter Questions
Problem 5EB: Cadre, Inc., sells a single product with a selling price of $120 and variable costs per unit of $90....
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A company is producing a high-volume item that sells for PhP 0.75 per unit. The variable production cost is PhP 0.30 per unit. The company is able to produce and sell 10,000,000 items per year when operating at full capacity.

 

The critical attribute for this product is weight. The target value for weight is 1,000 grams, and the specification limits are set at +/- 50 grams. The filling machine used to dispense the product its capable weights following a normal distribution with an average (mu) of 1,000 grams and a standard deviation (sigma) of 40 grams. Because of the large standard deviation (with respect to the specification limits), 21.12% of all units produced are not within the specification limits. (They either weigh less than 950 grams or more than 1,050 grams) This means that 2,112,000 out of 10,000,000 units produced are nonconforming and cannot be sold without being reworked.

 

Assume that nonconforming units can be reworked to specification at an additional fixed cost of PhP 0.10 per unit. Reworked units can be sold for PhP 0.75 per unit. It has been estimated that the demand for this product will remain at 10,000,000 units per year for the next five years.

 

To improve the quality of this product, the company is considering the purchase of a new filling machine. The new machine will be capable of dispensing the product with weights following a normal distribution with average (mu) = 1,000 grams and standard deviation (sigma) = 20 grams. As a result, the percent of nonconforming units will be reduced to 1.24% of production. The new machine will cost PhP710,000 and will alst for at least five years. At the end of five years, this machine can be sold for PhP 100,000.

 

a. If the company's MARR is 15% per year, is the purchase of the new machine to improve quality (reduce variability) economically attractive? Use the AW method to make your recommendation.

 

b. Compute the IRR< simple payback period, and discounted payback period of the proposed investment.

 

c. What other factors, in addition to reduced total rework costs, may influence the company's decision about quality improvement?

 

 

 

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