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Poisson Distribution (8 pts.) 911phone calls arrive at the rate of 30 per hour at the local call center.
a. Find the probability of receiving more than two calls in a five-minute interval of time.
b. Find the probability that the number of calls is between 5 and 10 (inclusive) in 15 minutes.
c. What is the variance of the number of calls per hour?
Below is a table with total data for a firm in a perfectly competitive industry. Quantity Total Cost 0 100 10 220 15 300 20 360 25 450 30 600 35 770 40 960 What is the marginal cost and average total cost for the firm at each level of output
Jim's Car Rental has fixed costs of $220,000 per month and variable costs per car rented per day of $3. If Jim's charges $25 per day to rent a car, how many car-rental days (the number of cars rented times the number of days each is rented) must J..
Matt and Johnny both purchase pop and chips at the same convenience store. They have different tastes for pop and chips, so Matt buys 3 cans of pop and 10 bags of chips whereas Johnny buys 15 cans of pop and 2 bags of chips.
The XYZ Company produces whatchamacallits in a perfectly competitive industry. The market price is currently $8.50/unit. Freddie Freeloader, operations manager at XYZ's manufacturing facility in French Lick, Indiana, must decide how many whatcha..
Wood products industry officials now claim that major mill closures over noneconomic issues occur at a rate of one every six months. Assume that this rate is accurate. a. Find the probability that no major mill closures will occur during a given ye..
Customer Group B is willing to pay $29,000 for the SUV and $1,000 for the towing package. Assuming the manufacturer cannot price discriminate but can bundle the products or sell them separate, which of the options below maximizes its revenues
Corporations often distribute profits to their shareholders in the form of dividends, which are simply checks mailed out to shareholders. Suppose that you have the chance to buy a share in a fashion company called Rogue Designs for $35.
Wishwell Tile Corporation uses the number of construction permits issued to help estimate demand. The company collected the following information on yearly sales and number of construction permits issued in its market area:
Suppose a monopolist faces the following demand curve, variable cost function, and Suppose a monopolist faces the following demand curve: fixed costs:QD =10-1/2p VC=8Q+Q^2 F=8 a. Find the monopolist's revenue, marginal revenue, and marginal cost func..
A single producer of both products controls the entire market for beverages in this city and is considering strategies to bundle one bottle of health drink with one bottle of fruit juice. Assume that the marginal cost of supplying both varieties i..
Assume a continuous-time solow growth model with no technical progress. The economy is closed and there is no government sector. Labor supply is given by L_t = e^nt, n>0. The average propensity to save out of GDP is s,, with 0
Paul can make either "100 bottles of wine and 0 boxes of chocolates" or "0 bottles of wine and 1600 boxes of chocolates" or a combination of wine and chocolates. For parts of this question assume that Paul's PPF reflects the property of constant o..
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