Question 1 5 pts Sales Analysis The total sales 8 (in thousands) of a video game are given by 8(t) = t2+b' where a = 94, b = 48, and t is the number of months since the release of the game. Find 5(10) and 8"(10). Use these results to estimate the total sales after 11 months. Do NOT compute the total sales after 11 months. approximately video games after 11 months Drug Sensitivity One hour after a dose of as milligrams of a drug Predamestane is administered to a person, the change in body temperature T(zc), in degrees Fahrenheit, is given approximately by T(:c) =3:2 (1 g); forOSmS 5. The rate T'($) at which T changes with respect to the size of the dosage m is called the sensitivity of the body to the dosage. Compute the sensitivity of the body to a dose of 1 milligrams of Predamestane. Round to the nearest hundredth (2 decimal places). degrees Fahrenheit per milligram Yaster Outtters manufactures and sells extreme-cold sleeping bags. The table below shows the price-demand and total cost data, where: o p is the wholesale price (in dollars) of a sleeping bag for a weekly demand of a} sleeping bags; 0 C is the total cost (in dollars) of producing 33 sleeping bags. .7; (sleeping bags) P (9 O ($l 95 240 13,000 120 235 14,300 180 155 18,500 220 50 21,000 Use this data to create regression models to answer all of the questions below. Price Model Find a quadratic regression equation for the price-demand data, using m as the independent variable. p:albss+c:1r:2 Round 0, to the nearest integer, round I) to 2 decimal places, and round (1 to 4 decimal places. Use this price model to answer question 1-2 below. Question 1 3 pts Use the price model above to answer this question. Estimate the price per sleeping bag when the weekly demand is 131. Round to the nearest cent. $ per sleeping bag Question 2 3 pts Use the price model above to answer this question. The graph y = a I be: + cm2 has y intercept a. In the context of price- demand for sleeping bags, what is the interpretation of this value? When the price is $0, per sleeping bag, there is no demand for sleeping bags. The equilibrium quantity is a sleeping bags per week. The equilibrium price is $6: per sleeping bag. The break-even point is a sleeping bags per week. When the price is $0, per sleeping bag, there is a weekly demand of a. sleeping bags. When the sleeping bags are free (price = $0), there is a weekly demand of a, sleeping bags. The break-even point is $6: per sleeping bag. Use the price model above to construct a revenue model. Find a model for the weekly revenue, using a as the independent variable. NOTE: Do not calculate another regression. Use the price equation to find a model for revenue R(x) = p . x. R(a) = p . a = (a + bae + cac?) ac = axe + back + car 3 Use this revenue model to answer questions 3-8 below. Question 3 3 pts Use the revenue model above to answer this question. What is a? Round to the nearest integer.Use the revenue model above to answer this question. What is b? Round to 2 decimal places. Question 5 3 pts Use the revenue model above to answer this question. What is c? Round to 4 decimal places. , Use the revenue model above to answer this question. Estimate the weekly revenue when the weekly demand is 169. Round to the nearest dollar. $ Question 7 3 pts Use the revenue model above to answer this question. Estimate the marginal weekly revenue when the weekly demand is 123. Round to the nearest cent. $ per sleeping bag Question 8 3 pts Use the revenue model above to answer this question. Estimate the average weekly revenue per bag when the weekly demand is 170. Round to the nearest cent. $ per sleeping bag