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The amount of toothpaste in a tube is normally distributed with a mean of 6.5 ounces and an s.d. of 0.8 ounces. The cost of producing each tube is 50 cents. If in a quality control examination a tube is found to weigh less than 6 ounces, it is to be refilled to the mean value at a cost of 20 cents per tube. On the other hand, if the tube weighs more than 7 ounces, the company loses a profit of 5 cents per tube. If 1000 tubes are examined,
a. How many tubes will be found to contain less than 6 ounces?
b. In that case, what will be the total cost of the refill?
c. How many tubes will be found to contain more than 7 ounces? In that case, what will be the amount of profits lost?
A farmer has 120 acres on which to plan wheat or corn. Each acre of wheat requires $20 capital and 2 hours of labor. Each acre of corn requires $35 capital and 6 hours of labor. Labor costs are $8 per hour. The farmer has $2000 available for capital ..
In recent years, the government of Pakistan has established a support price for wheat of about $0.24 per kilogram of wheat. At this price, consumers are willing to purchase 9 billion kilograms of wheat per year. What are annual consumer expenditures ..
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Esteez Construction Company has an overhead crane that has an estimated remaining life of 7 years. The crane can be sold for $14,000. If the crane is kept in service it must be overhauled immediately at a cost of $6,000. Should the company buy the ne..
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Solve for steady-state level of captial and output. What savings rate would be necessary to achieve a steady-state output of 150.
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