SOMEONE HELP ME !! QUANTITATIVE METHODS CLASS !!! No missing information ! Please answe each question separately (exercise with answer). ****Please tutor to make it perfect if you don't know how to do it allow other tutors to help me.**** HELP 1: Application problems: breakeven points, revenues, costs and profits 1. A company sells portable radios. The cost equation to manufacture the product is given by C (x) = x ^ 2-x + 31. The company sells its radios for $ 3.00 each. Therefore, your income equation is R (x) = 3x, where R is income and x is the number of units sold in the week (in thousands). Find and interpret the equilibrium point. 2. The supply and demand equations for a certain product are: (1) and (2) respectively, where p represents the price per unit in dollars and q, the number of units sold per period. (1) 3q-200p + 1800 = 0 (2) 3q + 100p-1800 = 0 Find the equilibrium price algebraically. Find and interpret the equilibrium price when a tax of 27 cents per unit is imposed on the supplier. 3. A basketball team plays in a stadium with a capacity of 55,000 spectators. With the ticket price at $ 10, the average attendance in recent games has been 27,000. Market research indicates that for every dollar the ticket price goes down, attendance will increase by 3,000. Identify the function that maximizes ticket sales revenue. 4. The demand function for the manufacturer of a product is p = f (q) = 200-5q, where p is the price (in dollars) per unit when q units are demanded (per week). a. Identify the function that maximizes the manufacturer's total revenue. b. Determine this income. 5. The total monthly income of a nursery for the care of x children is given by r = 450x, and its total monthly costs are c = 380x + 3500. a. How many children need to enroll each month to break even? b. In other words, when does income equal costs? THANKS