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The Charm City Cereal Company makes a cereal from several ingredients. Two of the ingredients, oats and rice, provide vitamins A and B. The company wants to know how many ounces of oats and rice it should include in each box of cereal to meet the minimum requirements of 45 milligrams of vitamin A and 20 milligrams of vitamin B while minimizing cost. An ounce of oats contributes 8.5 milligrams of vitamin A and 1.2 milligram of vitamin B, whereas an ounce of rice contributes 6.4 milligrams of A and 2.2 milligrams of B. An ounce of oats costs $0.08, and an ounce of rice costs $0.05.
Formulate a linear programming model for the above situation by determining(a) The decision variables.(b) The objective function.(c) All the constraints.
The state of Connecticut is well known for its almandine garnet. The Almandine Garnet Mine has plans to extract 80 tons over the next two years. The production benefits and costs are: MB = 40 ? 0.1Q MC = 36 + 0.25Q Assume..
Where Q measures the number of units of the public good and P is the price in dollars. The marginal cost of providing the public good is $180. a) What is the economically efficient level of production (Q*) of the good? b) Illustrate your answer on ..
The ticket cost Dave $600. To attend the concert Tim will have to take 3 days off from work where his daily compensation is $250. In addition Tim expects travel expenses to be $175 and the cost of a hotel for 2 days to be $275. What is the economi..
What is the annual compounding interest charged? Using the compounding annual interest rate from above, what is the nominal, period interest rate and corresponding effective interest rate if compounding is hourly? Assume 30 days per month.
Suppose the government imposes a price ceiling of $50 on a market characterized by the following information:Qd = 700 - 2P Qs = 100 + 4P Calculate the magnitude of deadweight loss from the price ceiling.
Suppose there is an increase in supply (rightward shift in supply). Consider two graphs. In Graph [X], demand is relatively inelastic. In Graph [Y], demand is relatively elastic. Which of the following is true?Suppose Bill gets a pay raise of 12%, ..
Tennessee just instituted a state lottery. The initial jackpot is $100,000. If the first week yields no winners, the next week's jackpot goes up, depending on the numbers of previous players who placed the lottery bets
Brian and Kim own a business employing 8 workers to produce commemorative t-shirts for campus organizations and events. They are currently producing 2000 shirts per month with average total cost of $8.00, average fixed cost of $2.00
A quality control inspector chooses a part to be tested. The part is then declared acceptable, repairable, or scrapped. Then another part is tested.
Suppose that Glitter Gulch, a gold mining firm, increased its sales revenues on newly mined gold from $10 million to $20 million between one year and the next. Assuming that the price of gold increased by 100 percent over the same period.
A single unit of a good is to be sold via an auction. There are two bidders, A and B. They are assumed to be risk-neutral. The seller knows that there are five possible values of willingness to pay, $100, $200, $300, $400 and $500.
A demand curve is given by QD = 600 20P. Draw the demand curve. You don't have to draw to scale. Clearly show what happens on this demand curve when the price rises from $6 to $8. Label all appropriate points, as well as numerical values for pric..
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