A pair of prices p 1 and p 2 such that the demands for the two products given by q 1 = 300 − 8 p 1 − 4 p 2 and q 2 = 400 − 5 p 1 − 10 p 2 are equal.

Question

A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copyediting, typesetting, and so on) at $87,000 and variable costs (printing, paperm bilding, shipping) at $4.50 for each book produced. If the book is sold to distributors for $28 each, how many must be produced and sold for the publisher to break even?

Answer 1

Question

Chapter 14.3, Problem 25E

To determine

To calculate: A pair of prices p1 and p2 such that the demands for the two products given by q1=300−8p1−4p2 and q2=400−5p1−10p2 are equal.

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A publisher for a promising new novel figures fixed costs (overhead, advances, promotion, copyediting, typesetting, and so on) at $87,000 and variable costs (printing, paperm bilding, shipping) at $4.50 for each book produced. If the book is sold to distributors for $28 each, how many must be produced and sold for the publisher to break even?

ANSWER THE FOLLOWING Problem 1 Each month a store owner can spend at most $ N on PC's and laptops. A PC costs the store owner $1000 and a laptop costs him $1500. Each PC is sold for a profit of $ M while laptop is sold for a profit of $700. The sore owner estimates that at least 15 PC's but no more than 80 are sold each month. He also estimates that the number of laptops sold is at most half the PC's. How many PC's and how many laptops should be sold in order to maximize the profit? Set PC = X1 ; Laptops =X2 ; Z=Profit (1) If the Profit Equation would be : Z = 400 x1 + 700 x2; What is the profit per unit (M) for PC computers? a. 400 b. 1000 c. 700 d. none of these (2) “Least 15 PC's but no more than 80 are sold each month” means? a. 15 ≤ x1 ≤ 80 b. 15 ≤ x1 ≥ 80 c. 15 ≥ x1 ≥ 80 d. 15 ≥ x1 ; x1 ≤ 80 (3) If the Owner can only spend ($ N) dollars; what would be the Equation if N=100,000? a. 1000 x1 + 1500 x2 ≤ 100,000 b. 1500 x1 + 1000 x2 ≥ 100,000 c. 1000 x1 +…

An audio company sells microphones for $110 per unit. Its fixed costs are $152,000 per year, and the variable cost per unit is $30. (a) The break-even volume is next whole number of units.) units per year. (If necessary, round up to the (b) If the selling price decreases to $105, the new break-even volume will be units per year. (If necessary, round up to the next whole number of units.)