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Bridges [Type text] Name__________________Math 115b Due Tue Apr 27 Team #_______INDIVIDUAL HOMEWORK #7Do these problems on your own paper. Show all work. These problems can be found in your e-text: MBD 2 Proj 1.pptx. NOTICE: Project #1!If you use a macro (Graphing.xlsm, Differentiating.xlsm or Integrating.xlsm), then you must show 3 things -- if you don’t remember what these are, then look it up!PROBLEM #1 -- EXERCISE 30 (slide 177)The demand function for Buffalo Steak Dinners is D(q)=−0.0000018 q2−0.0002953 q+30.19 .We have seen that the maximum profit from the sale of buffalo steak dinners wouldresult from selling 2,025 dinners. At this sales level, use the restaurants’ demand function to compute the following:(i) the total possible revenue(ii) the revenue(iii) the consumer surplus(iv) the lost revenue from dinners that were not sold.PROBLEM #2 -- EXERCISE 33 (ii) (slide 179)Suppose that D(q)=−0.00006 q2+250 is the demand function for a certain model of audio speaker. Use Integrating.xlsm to compute the total possible revenue.Read and study slides 181-186 on Income Streams. The total revenue, in dollars, received from an income stream of A(t) dollars per year, starting now and continuing for the next T years is given by ∫0TA(t)dt Suppose that money earns at an annual rate, r, compounded continuously. The present dollar value of an income stream of A(t) dollars per year, starting now and continuing for the next T years is given by ∫0TA(t)e−rtdtPROBLEM #3 -- EXERCISE 40 (slide 188)(i) What is the present value of a constant income stream of A(t) = $5,450,000 per year for the next five and one-half years at 5.7%, compounded continuously? (ii) How much total revenue will be received during the five and one-half year period. (You should be able to answer Part ii without using integration!)PROBLEM #4 -- EXERCISE 41 (slide 189)Bridges [Type text] Name__________________Math 115b Due Tue Apr 27 Team #_______(i) What is the present value of an income stream of A(t) = 348,000,000×e0.07×t dollars per year for the next two years at 5%, compounded continuously? (ii) How much total revenue will be received during the two year


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UA MATH 115B - Homework

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