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Answer:
Part (a) Should the firm buy the new equipment
The Firm Should not Buy the New Equipment since there is No Profit ( instead $1000 Profit lost) from this decision and is in a worse off position than before.
Part (b) should the company buy the new equipment and increase the selling price?
The Firm Should Buy the New Equipment since an incremental Profit of $ 1500 is expected from this decision.
Explanation:
Part (a) Should the firm buy the new equipment
Do Not Buy Buy New Equipment
$ $
Sales 30,000 50,000
Less Variable Cost 15,000 30,000
Contribution 15,000 20,000
Less Fixed Costs 14,000 20,000
Net Income 1,000 0
The Firm Should not Buy the New Equipment since there is No Profit ( instead $1000 Profit lost) from this decision and is in a worse off position than before.
Part (b) should the company buy the new equipment and increase the selling price?
Do Not Buy Buy New Equipment
$ $
Sales 30,000 49,500
Less Variable Cost 15,000 27,000
Contribution 15,000 22,500
Less Fixed Costs 14,000 20,000
Net Income 1,000 2,500
The Firm Should Buy the New Equipment since an incremental Profit of $ 1500 is expected from this decision.
a) Based on 50,000 units, the firm will be making a profit of $0 ($50,000 - $30,000 - $20,000) instead of $1,000 with the previous arrangement, and should not buy the new equipment.
b) Based on 45,000 units and a selling price of $1.10, the firm will be making a profit of $2,500 ($49,500 - $27,000 - $20,000) instead of $1,000 with the previous arrangement, and should buy the new equipment.
Data and Calculations:
Variable cost = $0.50
Selling price per unit = $1.00
Contribution margin per unit = $0.50 ($1.00 - $0.50)
Fixed costs per month = $14,000
Current volume per month = 30,000 units
Sales revenue = $30,000 ($1.00 x 30,000)
Total variable cost = $15,000 ($0.50 x 30,000)
Net income = $1,000 ($30,000 - $15,000 - $14,000)
Buying Equipment with Increased Volume of 50,000 units:
Additional fixed cost per month = $6,000
Total fixed cost per month based on improvement = $20,000 ($6,000 + $14,000)
New variable cost = $0.60
New volume per month = 50,000 units
Selling price = $1.00
New Contribution margin per unit =$0.40 ($1.00 - $0.60)
Sales revenue = $50,000 ($1.00 x 50,000)
Total variable cost = $30,000 ($0.60 x 50,000)
Net income = $0 ($50,000 - $30,000 - $20,000)
Buying Equipment with Increased Volume of 45,000 units:
Additional fixed cost per month = $6,000
Total fixed cost per month based on improvement = $20,000 ($6,000 + $14,000)
New variable cost = $0.60
New volume per month = 45,000 units
Selling price = $1.10
New Contribution margin per unit =$0.50 ($1.10 - $0.60)
Sales revenue = $49,500 ($1.10 x 45,000)
Total variable cost = $27,000 ($0.60 x 45,000)
Net income = $2,500 ($49,500 - $27,000 - $20,000)
Thus, under these circumstances, the company should only buy the new equipment if it will increase the selling price.
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