BPO Services is in the business of digitizing information from forms that are filled out by hand. In 2006, a big client gave BPO a distribution of the forms that it digitized in house last year, and BPO estimated how much it would cost to digitize each form. Form Type Mix of Forms Form Cost A 0.5 $3.75 B 0.5 $1.25 The expected cost of digitizing a form is $ Suppose the client and BPO agree to a deal, whereby the client pays BPO to digitize forms. The price of each form processed is equal to the expected cost of the form that you calculated in the previous part of the problem. Suppose that after the agreement, the client sends only forms of type A. The expected digitization cost per form of the forms sent by the client is $ . This leads to an expected loss of $ per form for BPO. (Hint: Do not round your answers. Enter the loss as a positive number.)

A computer reseller needs to decide how many laptops to order next month. The lowest end laptop costs $220 and the retailer can sell these for $300. However, the laptop manufacturer already announced that they are coming out with a new model in a couple of months. Any laptops that will not be sold by the end of next month will have to be heavily discounted at half-price. The reseller also needs to consider that every time he fails to fulfill a laptop order, he stands to lose $25 for every unit. Based on the past months’ sales, the reseller estimates the demand probabilities for sales (S) as follows: P(0 units) = 0.3; P(1 units) = 0.4; P(2 units) = 0.2; P(3 units) =0.1. The reseller thinks it’s a good idea to conduct a survey on whether or not his customers are going to buy laptops and how many. The survey results will either be Yes (Y), No (N) or Don’t Know (DK). The probability estimates of the results based on the demand for number of units are:    P(Y|S = 0 units) = 0.1    P(Y|S = 1…

You manufacture ceramic lawn ornaments. After several months your accountant tells you that your profit P(n) can be modeled by the function P(n)= -0.002n^2+5.2n-1208 where n is number of ornaments sold each month. A) How many ornaments must you make and sell to break even. B) How many ornaments must you make and sell to maximize profit. C) What is the maximum profit. D) How many ornaments must you make and sell in order to earn a profit of $1657.

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