D Question 2 1 pts Solve the problem. Given the following revenue and cost functions, find the break-even point to the nearest tenth. (Recall that profit equals revenue minus cost.) R(x) = 56x - 2x2; C(x) = 25x + 99 O 15.5 O 12.8 or 2.7 O 28.0 O 11.0 or 4.5D Question 3 1 pts Solve the problem. Given the following revenue and cost functions, find the x-value that makes profit a maximum. (Recall that profit equals revenue minus cost.) R(x) = 58x - 2x2; C(x) = 23x + 108 O 14.5 O 17.5 O 9.75 O 8.75D Question 4 1 pts Solve the problem. Given the following revenue and cost functions, determine for what x-values a loss will occur. (Recall that profit equals revenue minus cost.) R(x) = 55x - 2x2; C(x) = 22x + 1071 O For x 13.3 O For 3.2 -4.4D Question 5 1 pts Solve the problem. A charter flight charges a fare of $280 per person plus $4 per person for each unsold seat on the plane. If the plane holds 151 passengers and if x represents the number of unsold seats, find an expression for the total revenue received for the flight. (Hint: multiply the number of seats sold, 151 - x, by the price per ticket). O R(x) = (151 - x)(280 + 4) O R(x) = x(151 - x) O R(x) = (151 - x)(280 + 4x) O R(x) = x(280 + 4x)Question 6 Solve the problem. The manager of a CD store has found that if the price of a CD is p(x}-86-%. then x CDs will be sold. An expression for the total revenue from the sale of x CDs is 2 RM = 86x - x? Find the number of CDs that will produce maximum revenue. 0 324 O 688 o 384 0344 Question 7 1 pts Solve the problem. Bob owns a watch repair shop. He has found that the cost of operating his shop is given by c=2x2- 164x+33, where c is cost and x is the number of watches repaired. How many watches must he repair to have the lowest cost? 0 44 watches 0 88 watches 0 20 watches (0 41 watches D Question 8 1 pts Solve the problem. John owns a hotdog stand. His profit is represented by the equation P= -x2 + 10x + 34, with P being profits and x the number of hotdogs. What is the most he can earn? O $25 O $39 O $59 O $99Question 9 1pts Solve the problem. Suppose the supply and demand for a certain videotape are given by: supply: = qg: demand: = - q2 + 35 where p is price and q is quantity. How many videotapes are supplied at a price of $12? 0 About 11 0 About 8 0 About 9 0 About 10 Question 10 1pts Solve the problem. Suppose the price p of bolts is related to the quantity q that is demanded by: p = 600 - (an2 where q is measured in hundreds of bolts. Suppose the supply function for bolts is given by p = 6mg. where q is the number of bolts (in hundreds) that are supplied at price p. Find the equilibrium price. 0 $315 0 $600 0 $7 0 $300