Sales Analysis A company's total sales {in millions of dollars} months from now are given by 8(t) = 0.086 + 0.58% + 28 + 3 Use this sales model to answer guestions 1-3 below. Question 1 7 pts Use the sales model above to answer this question. 'What are the predicted total sales 4 months from now? Round to the nearest dollar. 4 Question 2 7 pts Use the sales model above to answer this question. 'What is the instantaneous rate of change of S{tJ 5 months from now? Round to 2 decimal places. millions of dollars per month Question 3 7 pts Use the sales model above to answer this question. What are the units of {13)? () dollars () dollars per month () millions of dollars per year () months () millions of dollars per month () millions of dollars () dollars per day Question 4 7 pts Price-Demand Equation At YasterMart. people are willing to buy x pounds of chocelate candy per day at $p dollars b per quarter pound, as given by the price-demand equation & = a + , where g = 11 and r b= 240 Find the Instantaneous rate of change of demand with respect to price when the price is $5. Round to the nearest hundredth (2 decimal places) pounds per dallar Lonege Enronment The percentage of female high school graduates who enrolled in college is given in the table below. Year College Enrollment Percentages for Females 1970 25.5 1980 30.3 066T 38 .3 2000 45 .6 2010 50.5 Let I represent time (in years) since 1970, and let y represent the corresponding percentage of female high school graduates who enrolled in college. Find the cubic regression model y = F(=) = ax the textd, where a is rounded to 6 decimal places, b is rounded to 4 decimal places, c is rounded to 3 decimal places, and d is rounded to 1 decimal place. Use this cubic regression model to answer questions 5-6 below. D Question 5 7 pts Use the cubic regression to answer this question. Predict the percentage of female high school graduates in 2039. Round to the nearest tenth (1 decimal place). D Question 6 7 pts Use the cubic regression model above to answer this question. Predict instantaneous rate of change of the percentage of female high school graduates in 2016. Round to the nearest hundredth (2 decimal places). per year NOTE: Your answer may be negative. D Question 7 7 pts Marginal Profit Yaster Breakfast Supplies is planning to manufacture and market a new toaster. After conducting extensive market surveys, the research department provides the following estimates: a weekly demand of 306 at a price of $13 per toaster a weekly demand of 194 at a price of $18 per toaster The financial department estimates that weekly fixed costs will be $1,384 and variable costs (cost per unit) will be $4. Assume the relationship between price and demand is linear the cost function in linear Use your models to predict the marginal profit when Yaster is producing and selling 273 toasters per week. Round to the nearest cent. per toasterD Break-Even Analysis The table below contains price-demand and total cost data for the production of treadmills, holesale price (in dollars) of a treadmill for an annual demand of a treadmills. and ( is the total cost (in dollars) of producing .a treadmills. P ($) C (S) 2,910 1,450 3.634,000 3,415 1.275 3,782.000 4,645 1.123 4,185,000 5,330 918 4.290.000 Use this data to find a linear regression equation for price-demand data, using a as the independent variable: Use this data to find a linear re or the cost data, using a as the independent variable: Clar) = where c is rounded to the nearest integer and a is rounded to the nearest 10,000. Use these linear regression m wer questions 11-14 below. D Question 8 7 pts Use the linear regression models above to answer this question. Estimate the fixed costs. Round to the nearest $10,000. D Question 9 7 pts Use the linear regression models above to answer this question. Estimate the variable cost per treadmill. Round to the nearest dollar. _ per treadmill produced Question 10 7 pts Use the linear regression models above to answer this question. There are two break-even points. Find the smaller production level where the company breaks even. Round to the nearest treadmill. _ treadmills D Question 11 7 pts Use the linear regression models above to an wer this question. There are two break-even points. Find the larger pr even. Round to the nearest treadmill. treadmills