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Math 117 Appendix C. 100% Correct

# Math 117 Appendix C. 100% Correct - Week 2 Day 7 Assignment...

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Week 2 Day 7 Assignment Appendix C - Answers 1a. Let x = the number of tiles sold per month. The following t-table shows points for the line: x = quantity p = price sold 42 20 52 10 To get the equation for the line, use (p-p 0 ) = m(x-x 0 ) m = 1 10 10 52 42 10 20 - = - = - - Using (x,p) = (42, 20), line equation is (p-20) = -1(x-42) p = 20 – x + 42 p = -x + 62 1b. Revenue is R = xp R = x(-x + 62) substituting from part a R = -x 2 + 62x distributing x through. c. If b represents a fixed cost, what value would represent b ? \$300 d. Find the cost equation for the tile. Write your answer in the form C = mx + b. 1e. P = R-C P = -x 2 + 62x – (6x + 300) P = -x 2 + 62x – 6x -300 P = -x 2 + 56x – 300 1f. Substitute 20 into P for x: P = -20 2 + 56*20 -300 P = -400 + 1120 – 300 P = 420 The profit from selling 20 tile sets is \$420.00. 1g. Substitute 25 into P for x: P = -25 2 + 56*25 – 300 P = -625 + 1400 – 300 MAT 117

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P = 475 The profit from selling 25 tiles is \$475.00. h. What is the profit made from selling no tile sets each month? Interpret your answer. (0 20) (6 0 300) 0 (0 300) 300 P P P = - + = - - = - 1i. The number of tiles that will yield the highest profit is 28.
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