Engineering Economy (17th Edition)
Engineering Economy (17th Edition)
17th Edition
ISBN: 9780134870069
Author: William G. Sullivan, Elin M. Wicks, C. Patrick Koelling
Publisher: PEARSON
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Chapter 13, Problem 14P
To determine

Formulation of the given program as linear programming model.

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A company is analyzing a make-versus-purchase situation for a component used in several products, and the engineering department has developed these data: Option A: Purchase 10,000 items per year at a fixed price of $8.46 per item. The cost of placing the order is negligible according to the present cost accounting procedure. Option B: Manufacture 10,000 items per year, using available capacity in the factory. Cost estimates are direct materials = $5.11 per item and direct labor = $1.32 per item. Manufacturing overhead is allocated at 200% of direct labor (= $2.64 per item). Based on these data, should the item be purchased or manufactured? The total cost of Option A is $ (Round to the nearest dollar.)
A rural self-service station with automatic credit card paying methods has property worth $3,000. The only variable cost is for the gasoline, which has a marginal cost equal to MC = $0.01Q, where Q is number of gallons sold. The price per gallon charged by the station is $2.50. The interest rate measure for the cost of capital is 10% (note that the fixed costs are calculated as the opportunity cost of capital, that is, (FC = 10% x $3,000). Last year the station sold 300 gallons of gasoline. The owner, an absentee entrepreneur, is willing to operate with no economic profit, but he will not tolerate economic losses over the long run. a. In the short run, is he maximizing his profits? Why? b. Given the conditions listed above, what should the owner do in the short run? Show your work. c. Next, a large expressway is built beside the station, and suddenly the demand for roadside property soars. The owner's property value triples to $9,000, but his marginal cost function stays the same. The…
Investors put up $520,000 to construct a building and purchase all equipment for a new restaurant. The investors expect to earn a minimum return of 10 per cent on their investment. The restaurant is open 52 weeks per year and serves 900 meals per week. The fixed costs are spread over the 52 weeks (i.e. prorated weekly). Included in the fixed costs is the 10% return to the investors and $1,000 per week in other fixed costs. Variable costs include $1,000 in weekly wages and $600 per week for materials, electricity, etc. The restaurant charges $5 on average per meal. If the restaurant were to shut down, what would losses per week?
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