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Billy Penny is trying to determine how many units of two types of lawn mowers to produce each day. One of these is the Standard model, while the other is the Deluxe model. The profit per unit on the Standard model is $60, while the profit per unit on the Deluxe model is $40. The Standard model requires 20 minutes of assembly time, while the Deluxe model requires 35 minutes of assembly time. The Standard model requires 10 minutes of inspection time, while the Deluxe model requires 15 minutes of inspection time. The company must fill an order for 6 Deluxe models. There are 450 minutes of assembly time and 180 minutes of inspection time available each day.Formulate as an LP, solve using QM, then interpret your output (the optimal solution, the reduced costs, slack/surplus, dual prices, ranges of feasibility, ranges of optimality)
The Metropolitan Symphony in Toledo, Ohio, has had great success with a "Senior Citizens' Night" promotion. By offering half off its regular $20 admission price, average nightly attendance has risen from 4,000 to 6,000 persons.
Jeff holds $50,000 wealth which has a utility of 7.07 utils (assuming utility is the square root of wealth in thousand dollars). He considers investing this in a gamble which has a 0.6 probability of increasing his total wealth to $100,000 and 0.4..
The machining time per piece if 0.164 h, and the machine loading time is 0.038h. With an operator rate of $12.80/h and a machine rate of $14/h, calculate the optimal number of machines for the lowest cost per unit of output.
own a bond that pays a semiannual coupon of $100 on Jan. 1 and July 1 of each year until 2020, and will pay $10,000 in addition to the coupon payment on Jan. 1, 2020. Tomorrow (Jan 2, 2012) you receive two pieces of information.
Suppose that market demand is given by P = 260 - 2Q and that firms again have a constant marginal cost of 20, while incurring no fixed cost, but now assume that the firms are Bertrand competitors and have unlimited capacity.a. What is the one-peri..
It is well documented that carbon monoxide (CO) emissions from combustible engines increase in colder climates. This implies that damages are expected to be less severe in summer months than in winter. Nonetheless, air quality control authorities..
R&D planning. A firm is in the process of assessing the economic prospects for a new bottling machine it is developing. Future research and development expenses could range from $4 to $9 million, with a most likley value around 7$ million.
Suppose there are three people discussing the amount of taxes they pay and wondering if the current tax system is fair. Jeff earns an income of $300,000 a year and has an annual tax bill of $40,000. Margaret earns and income of $200,000 a year an..
Suppose that a = 2, g = 0.02, the inflation rate is expected to be steady at pi = 0.03, and the tax rate is .40. What are the values of the equilibrium nominal interest rate and the before-tax expected real interest rate. what are the new values o..
When the price of insulin was $10 consumers demanded 100 units, when the price was $15 consumers demanded 100 units, and when the price was $20 consumers demanded 100 units. Based on this information, insulin must have a(n) demand curve.
Consider a closed economy to which the Keynesian-cross analysis applies. Consumption is given by the equation C = 200 + 2/3(Y - T). Planned investment is 300, as are government spending and taxes.
Steven has an income of $50, which he can spend on two goods: DVD and cups of iced coffee. Both are normal goods for him; each DVD costs $10 and each cup of iced tea costs $2. For each of the following situations
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