Reference no: EM133137748

Questions -

Q1) A company sells portable radios. The cost equation to manufacture the product is given by C(x)=x2-x+31. The company sells its radios for $3.00 each. Therefore, your revenue equation is R(x)=3x, where R is revenue and x is the number of units sold for the week (in thousands). Find and interpret the break-even point.

Q2) 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.

Q3) 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). Identify the function that maximizes the manufacturer's total revenue. Determine this income.

Q4) A daycare center's total monthly income from caring for x children is given by r=450x, and its total monthly costs are c=380x+3500. How many children need to enroll monthly to break even? In other words, when do revenues equal costs?