MATH 205 Midterm: MATH 205 KSU Test 1s07

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Please read the problems carefully and do all you are asked to do. You can use the back page as a scratch paper. Total/100 #1 #2 #3 #4 #5 #6 #7 #8. Suppose that the graph of a linear function y = f (x) contains the points ( 2, 3) and (4, 0). (a)(5 points). Sketch the graph of f (x) on the given coordinate system. Values of a linear cost function in dollars are in the following table. q. Find a formula for the cost function. (b)(6 points). Assume that the company sell the product at the price of 12 dollars per item. The supply and demand curves for a certain product are given in terms of price, p, by (a)(5 points). S(p) = 30p 5000 and d(p) = 10000 20p. (b)(5 points). If a speci c tax of per unit is imposed on producers, nd the new equilibrium price and quantity. (c)(3 points).

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