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Symville Tech, LLC last year had annual revenue of $1,500,000 on sales of 100,000 units, annual fixed costs of $500,000, and variable costs of $0.75 per unit.
a. What is the firm's annual profit or loss?
b. What is the price for each unit?
c. At what volume of sales does the firm break even?
d. If this revenue represents about 70% of the plant’s capacity, what is the potential profit if it runs at 100% of capacity?
e. What is the profit if it runs at 75% of capacity?
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Homothetic Preferences. The preferences represented by >= are homothetic if for any two bundles X and Y such that X >= Y, we have tX >= tY for all t > 0. Solve the consumer's problem and deduce the demand functions.
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