Date Assigned: Monday, June 22, 2020 Date Due: Tuesday, June 23, 2020 before class, No late homework will be accepted. Homework 15 Please notice that all work must be shown in a professional way with attention to detail No credit will be given for incomplete or disorderly work Please use a cover sheet stating your name, course number, date due, and homework number Unstopled homework will not be collected as this is part of the assignment All work must be individual with emphasis on numerical accuracy This is an Excel based assignment that must be submitted following the stated guidelines Please notice that late homework (after collected by the instructor) will incur into a 25% fate fee 1. Exercise One: Van Dam Design produces a line of high end sunglasses. The cost of production for this model is given by the function C(x) shown below-where x is the production volume in units. In addition, if the sunglasses sell for $520 per unit, the revenue function R(x) is shown below - where x is the sales volume in units. C(x) = 25,000 + 20 x R(x) = 520 x Based on the given information: (a) Derive the total profit function, (b) as shown in class, graph the Cost function C(x), and the Revenue function R(x) on the same Cartesian plane. (c) Find the break-even point numerically by using Goal Seek as shown in class. 2. Exercise Two: CDP plastics produces a line of economical, sun powered pocket calculators. The cost of production for this model is given by the function Clx) shown below-where x is the production volume in units. In addition, if the sunglasses sell for $10 per unit, the revenue function R(x) is shown below-where x is the sales volume in units. Cix) = 2x + 8000 R(x) = 10 x Based on the given information: (a) As shown in class today, derive the total profit function, (b) on the same Cartesian plane, graph the Cost function Clx), and the Revenue function R(x). (c) Find the break-even point numerically by using Goal Seek as shown in class