A Midwestern factory has been studying their costs and estimates the total cost for an upcoming production run can be modeled by C(53) = 41000 | 80:1: | :33 dollars. The total revenue from the sale of x units is R(m) = 36803: dollars. Before they start production, they want to know if it will be worthwhile... That is, can they make money? (a) Find the profit function, (b) determine the level of production that will maximize profit, and (c) find the maximum profit possible according to this model. a) The profit function is P(a:) = :] Round the production level to the nearest whole unit. b) The production level per week that results in the maximum profit is Use the whole number you entered above to compute the maximum profit. c) The maximum profit is S