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BUS306 MOD2 CA CV

# BUS306 MOD2 CA CV - equation P = 140n 8500 where n is the...

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TRIDENT UNIVERSITY INTERNATIONAL Module 1 Case Assignment BUS306 Quantitative Reasoning February 26, 2012

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1. Evaluate the function f(x) = 9x - 6 for x = 0. 9 * 0 = 0 0 - 6 = -6 f(0) = 9*0 - 6 = -6 2. Bob owns a watch repair shop. He has found that the cost of operating his shop is given by C(x) = 4x^2-296x+85 , where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost? This one gave me a real problem. I had to do a lot of research, but found that this was the application of quadratic equations and functions from the background reading, some research on the internet, and from an Essential Algebra book I had at home (Bittinger & Keedy, 1988). C(x)=4(x^2-74x+37^2)+85-4(37^2) C(x)=4(x-37)^2+85-5476 C(x)=4(x-37)^2-5391 This is a parabola with vertex at (37,-5391) He must repair 37 watches to have the lowest cost. 3. Find the slope of the line through the points ( 5, -5) and ( 6, -1) Using Y 2 -Y 1 X 2 -X 1 Slope = (-1-(-5))/(6-5) = 4/1 4/1 = 4
4. Kafka Inc. imports hard drives and sells them on the internet. The profit is given by the

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Unformatted text preview: equation P = 140n - 8500, where n is the number of hard drives sold. Graph P = 140n - 8500 for n < 1000. Estimate the profit, to the nearest ten dollars, corresponding to the sale of 875 hard drives. P = 140*875-8500 = P = 122500-8500 = \$114,000.00 P = \$114,000.00 Estimated profit of the sale of 875 hard drives will be \$114,000. 5. When \$8500 is invested in a savings account paying simple interest for the year, the interest, i in dollars, can be obtained from the equation i = 8500r , where r is the rate of interest in decimal form. Graph i = 8500r , for r up to and including a rate of 16%. If the rate is 12%, how much interest is earned? If the rate is 16%, how much interest is earned? Interest = 8500*0.16 = \$ 1,360 r = 0.12 Interest = 8500*0.12 = \$ 1,020 REFERENCES: Bittinger, M. L., & Keedy, M. L. (1988). Essential Algebra with Problem Solving. Reading: Addison-Wesley Publishing Company....
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