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The Widget Manufacturing Company must replace a widget machine, and is evaluating the capabilities of two systems. A requirement of management is that the machine chosen must be paid for during the first year of operation. The first machine under consideration, Machine A, would cost $65 000, and has the capacity to make up to 10 000 widgets per year, with a variable cost of $22 per widget. The second machine, Machine B, can produce widgets in almost half the time, would cost $72 000, but the variable cost is only $17 per widget. Widgets sell for $32.
(Excel is not required for this question: Just type)1) a. Find the break-even point in terms of Widgets for each machine. b. Find the break-even point in terms of dollars for each machine. c. If the Widget Company is anticipating a demand of 5500 units in the next year, which machine should be chosen? d. If the demand is anticipated at 7500 units, would a different system be chosen?
2) Suppose an additional Machine A is installed to make Junior Widgets. The selling price for these devices is $12 per unit, with a variable price of $8. Calculate
a. the BEP b. the BEP$ c. the profit (if any) at 24 000 units
3) At what volume would the Widget Manufacturing Company in the above question be indifferent to a choice between the two systems? (Hint: The costs will be the same.)
(a) Use this information to set up a diagram showing the firm''s total revenue and total cost schedules. In this diagram, show the points at which the firm is maximizing profits.
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