A store sells two brands of camping chairs. The store pays $50 for each brand A chair and $100 for each brand B chair. The research department has estimated that the weekly demand equations for these two competitive products to be the following, where p is the selling price for brand A, q is the selling price for brand B, and x and y are the average number of chairs sold per week. Complete parts (A) and (B) below. x = 1119-5p+q y = 291 +p-3q Ine demand Tor x will be 689 (Type a whole number.) The demand for y will be 181. (Type a whole number.) Demand equation for brand A Demand equation for brand B ... (B) How should the store price each chair to maximize weekly profits? What is the maximum weekly profit? [Hint: C = 50x + 100y, R= px + qy, and P = R-C.] The equation for P is P(p,q) = .

An athlete is planning a diet change for training. Each time he eats meal A he gets 20 grams of protein and 30 grams of carbohydrates. Each meal B provides 20 grams of protein and 50 grams of carbohydrates. Each meal A costs $5 each and each meal B costs $7.5. The athlete needs at least 80 grams of protein and 160 grams of carbohydrates. (A) let x be the number of meal A and y be the number of meal B. write inequalities for this linear programming problem. (B) identify the feasible set (C) Minimize the objective function 5x+7.5y (the total cost)

rials eo uations ow....zip Process . @ 2 D W Yaster Outfitters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: D • p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a sleeping bags; . C is the total cost (in dollars) of producing a sleeping bags. x (sleeping bags) p ($) 95 240 235 155 50 120 180 220 Use this data to create regression models to answer all of the questions below. #3 Price Model Find a quadratic regression equation for the price-demand data, using a as the independent variable. E p=a+bx+cr² Round a to the nearest integer, round b to 2 decimal places, and round c to 4 decimal places. Use this price model to answer question 1-2 below. $ 4 5 6 MacBook Pro C ($) 13,000 14,300 18,500 21,000 Y PEAR & * 8 ( 9 0 0 P A

The demand and supply functions for your college newspaper are, q = -11,000p + 4,400 and q = 2,000p + 500, respectively, where p is the price in dollars. At what price should the newspapers be sold so that there is neither a surplus nor a shortage of papers?