# Calculus for Business Economics & the Social & Life - download pdf or read online

ISBN-10: 0073532312

ISBN-13: 9780073532318

Read or Download Calculus for Business Economics & the Social & Life Sciences, Brief 10th Edition PDF

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Extra info for Calculus for Business Economics & the Social & Life Sciences, Brief 10th Edition

Example text

43. CONSUMER EXPENDITURE Suppose x ϭ Ϫ200p ϩ 12,000 units of a particular commodity are sold each month when the market price is p dollars per unit. The total monthly consumer expenditure E is the total amount of money spent by consumers during each month. a. Express total monthly consumer expenditure E as a function of the unit price p and sketch the graph of E( p). b. Discuss the economic significance of the p intercepts of the expenditure function E( p). c. Use the graph in part (a) to determine the market price that generates the greatest total monthly consumer expenditure.

3 LINEAR FUNCTIONS Solution 4 By rewriting the equation 4x ϩ 3y ϭ 3 in the slope-intercept form y ϭ Ϫ x ϩ 1, we 3 4 see that L has slope m L ϭ Ϫ . 3 4 a. Any line parallel to L must also have slope m ϭ Ϫ . The required line L1 3 contains P(Ϫ1, 4), so 4 y Ϫ 4 ϭ Ϫ (x ϩ 1) 3 4 8 yϭϪ xϩ 3 3 b. A line perpendicular to L must have slope m ϭ Ϫ 1 3 ϭ . 29. 29 Lines parallel and perpendicular to a given line L. 3 In Exercises 1 through 8, find the slope (if possible) of the line that passes through the given pair of points.

Express the manufacturer’s monthly profit as a function of price, graph this function, and use the graph to estimate the optimal selling price. 40. MANUFACTURING COST A manufacturer can produce tires at a cost of \$20 apiece. It is estimated that if the tires are sold for p dollars apiece, consumers will buy 1,560 – 12p of them each month. Express the manufacturer’s monthly profit as a function of price, graph this function, and use the graph to determine the optimal selling price. How many tires will be sold each month at the optimal price?