(E) Name: MA129 Lab 8 Report - Applications of Extrema; Antiderivatives Jaloq gu Student Number: Lab_ Winter 2023 Show all steps in the solutions to the following questions. Insufficient justification will result in a loss of marks. 1. [6 marks] A car dealership has 30 cars on a lot that holds 80 cars at full capacity. Currently, each car will sell for $30000, and for each additional car brought onto the lot, the selling price for each car will decrease by $500. (a) Letz represent the number of additional cars brought onto the lot. State the closed interval of possible values for x. to ebasarrods (1) lo stet a ts enoitanob batarasa malagamo zaistambaut damon- (b) Use the Closed Interval Method to determine the additional number of cars that should be put on the aaw 000 lot in order to maximize the dealership's revenue. Be sure to include a concluding statement in To jxso the context of this question. [Recall: In general, revenue is the product of selling price and quantity sold]. 2. [5 marks] The concentration of a certain medication in a patient's bloodstream can be given by C(t)= 200t-100 2 1 t> where C(t) is in milligrams per cubic centimeter and t is the number of hours after the medication has been administered. Use the Critical Point Theorem to determine the maximum concentration of the medication. Be sure to include a concluding statement in the context of this question. 1