The cost C (in dollars) for a company to produce and sell x thousand gadgets is given by C = 1/40 x^2 − 2x + 4040 (a) What is the company's start-up cost? $

(b) What is the minimum cost? $

(c) How many gadgets must the company produce and sell in order to incur the least cost? (Be careful with your units!) gadgets

Mr and mrs smith buy tickets for themselves and their four children. the cost of an adult ticket is ? 6 more than the adult ticket. the total cost of the six tickets is ? 40.50 work out the cost of an adult ticket. in your working let c be the cost of the child ticket and a be the cost of the adult ticket.

Determine whether the points (–3,–6) and (2,–8) are in the solution set of the system of inequalities below. x ? –3 y < 5? 3x + 2 a. the point (–3,–6) is not in the solution set, and the point (2,–8) is in the solution set. b. neither of the points is in the solution set. c. the point (–3,–6) is in the solution set, and the point (2,–8) is not in the solution set. d. both points are in the solution set.

Write an inequality and solve each problem. for exercises 11 and 12, interpret the solution.