EBK PRINCIPLES OF OPERATIONS MANAGEMENT
EBK PRINCIPLES OF OPERATIONS MANAGEMENT
11th Edition
ISBN: 9780135175644
Author: Munson
Publisher: VST
Question
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Chapter 7, Problem 10P

a)

Summary Introduction

To determine: The crossover point in units.

Introduction: The crossover point is the point at which revenue and expenses of the firm are equal. The company will experience neither loss nor profit at break-even point. Feasibility of the project can be determined using the crossover point.

a)

Expert Solution
Check Mark

Answer to Problem 10P

The crossover point is 82,000 units.

Explanation of Solution

Given information:

Selling price = $2.50 / bag

High speed shredder:

Fixed cost = $85,000 / month

Variable cost = $1.25 / bag

Clunker:

Fixed cost = $44,000 / month

Variable cost = $1.75 / bag

Crossover point:

Formation of equation:

Let ‘x’ denote the number of units. The total cost is calculated by summing the fixed cost with the value obtained by multiplying the total variable cost with ‘x’.

High speed shredder:

Total cost=Fixed cost+(Variable cost×x)=85,000+(1.25×x)=85,000+1.25x (1)

Clunker:

Total cost=Fixed cost+(Variable cost×x)=44,000+(1.75×x)=44,000+1.75x (2)

Calculation of crossover point:

The crossover point is calculated by equating equation (1) with (2).

Equating (1) with (2):

1.25x+85,000=1.75x+44,00085,00044,000=1.75x1.25x0.5x=41,000

x=41,0000.5x=82,000 units

Hence, the crossover point is 82,000 units.

b)

Summary Introduction

To determine: The monthly profit or loss for high speed shredder when selling 60,000 bags per month.

b)

Expert Solution
Check Mark

Answer to Problem 10P

The monthly loss is $10,000.

Explanation of Solution

Given information:

Monthly sales = 60,000 bags

Selling price = $2.50 / bag

Calculation of total revenue:

Total revenue is calculated by multiplying the monthly sales with the selling price of the bag.

Total revenue=Monthly sales×Selling price=60,000×2.50=$150,000

Calculation of total cost:

The total cost is calculated by adding the total fixed cost with the total variable costs for 60,000 bags.

Total cost=Fixed cost+(Variable cost×60,000)=85,000+(1.25×60,000)=85,000+75,000=$160,000

Calculation of monthly profit or loss:

The profit or loss is calculated by subtracting the total revenue with the total costs.

Profit/loss=Total revenueTotal costs=150,000160,000=$10,000(Loss)

Hence, the monthly loss is $10,000.

c)

Summary Introduction

To determine: The monthly profit or loss for Clunker when selling 60,000 bags per month.

c)

Expert Solution
Check Mark

Answer to Problem 10P

The monthly profit is $1,000.

Explanation of Solution

Given information:

Monthly sales = 60,000 bags

Selling price = $2.50 / bag

Calculation of total revenue:

Total revenue is calculated by multiplying the monthly sales with the selling price of the bag.

Total revenue=Monthly sales×Selling price=60,000×2.50=$150,000

Calculation of total cost:

The total cost is calculated by adding the total fixed cost with the total variable costs for 60,000 bags.

Total cost=Fixed cost+(Variable cost×60,000)=$44,000+($1.75×60,000)=$44,000+$105,000=$149,000

Calculation of monthly profit or loss:

The profit or loss is calculated by subtracting the total revenue with the total costs.

Profit/loss=Total revenueTotal costs=$150,000$149,000=$1,000(Profit)

Hence, the monthly profit is $1,000.

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Students have asked these similar questions
California Gardens, Inc., prewashes, shreds, and distributes a variety of salad mixes in             2-pound bags. Doug Voss, Operations VP, is considering a new Hi-Speed shredder to replacethe old machine, referred to in the shop as "Clunker." Hi-Speed will have a fixed cost of $85,000 per month and a variable cost of $1.25 per bag. Clunker has a fixed cost of only $44,000 per month, but a variable cost of$ 1.75. Selling price is $2.50 per bag.a) What is the crossover point in units (point of indifference) for the processes?b) What is the monthly profit or loss if the company changes to the Hi-Speed shredder and sells 60,000 bags per month?                                                                                                                                    c) What is the monthly profit or loss if the company stays with Clunker and sells 60,000 bags per month?
California​ Gardens, Inc.,​ prewashes, shreds, and distributes a variety of salad mixes in​ 2-pound bags. Doug​ Voss, Operations​ VP, is considering a new​ Hi-Speed shredder to replace the old​ machine, referred to in the shop as​ "Clunker." Hi-Speed will have a fixed cost of ​$87,000 per month and a variable cost of ​$1.20 per bag. Clunker has a fixed cost of only ​$31,000 per​ month, but a variable cost of ​$1.70. Selling price is ​$2.40 per bag. Part 2 ​a) What is the crossover point in units​ (point of​ indifference) for the​ processes? The crossover point is     units. ​(Round your response to the nearest whole​ number.)
California​ Gardens, Inc.,​ prewashes, shreds, and distributes a variety of salad mixes in​ 2-pound bags. Doug​ Voss, Operations​ VP, is considering a new​ Hi-Speed shredder to replace the old​ machine, referred to in the shop as​ "Clunker." Hi-Speed will have a fixed cost of ​$87,000 per month and a variable cost of ​$1.20 per bag. Clunker has a fixed cost of only ​$31,000 per​ month, but a variable cost of $1.70. Selling price is ​$2.40 per bag. Part 2 ​a) What is the crossover point in units​ (point of​ indifference) for the​ processes? The crossover point is 112000112000 units. ​(Round your response to the nearest whole​ number.) Part 3 ​b) What is the monthly profit or loss if the company changes to the​ Hi-Speed shredder and sells 90,000 bags per​ month?   The monthly profit or loss if the company changes to the​ Hi-Speed shredder and sells 90,000 bags per month is ​$enter your response here. ​(Round your response to the nearest dollar and include a minus sign if​ necessary.)

Chapter 7 Solutions

EBK PRINCIPLES OF OPERATIONS MANAGEMENT

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