The Demand function for a product is given by: D(q) - -0.0003q" - 0.04q + 23.56 where q is the number of units sold and D(q) is the corresponding price per unit, in dollars. A) What is the average rate of change of Demand between 120 and 180 units sold? (Include as many decimal places as is possible.) Answer: B) What are the appropriate units for the rate of change? Dollars per unit, per unit O Units per dollar O Units per dollar, per dollar Dollars per unit dsShipping company IPS has shipping rates that are a function of the weight of the parcel. For packages weighing less than or equal to 6 pounds, they charge $ 1 per pound. For packages weighing between 6 and 8 pounds, they charge $ 2.25 per pound. If packages weigh 8 pounds or more, they charge $ 3 per pound. IPS refuses to ship any parcel weighing more than 68 pounds. There is also a flat fee of $ 3 for all deliveries and an additional fee of $ 3 for all deliveries weighing 8 pounds or more. Complete the following description of a piecewise function so that is describes the shipping costs C() in dollars as a function of the weight r in pounds. if a is in the interval if a is in the interval C(I) = 1 if a is in the interval How does it cost to ship a package weighing 63 pounds with IPS? $Consider the functions f(x) - -5x - 5 and g(x) = vx - 4. Determine each of the following. 33 fog(z) = Give the domain of fog(r). go f (z) = Give the domain of go f(z) . ngIf f(4) - -2, write an ordered pair that must be on the graph of y = f( - 1) + 5Simplify the compound rational expression. When applicable, completely simplify your answer into a single rational expression without negative exponents. 24 24 1942th 194x h Importance of Concept