The relationship between training costs (x) and productivity () is given by the following formula, y = 2x + 5x2 + 33. a. Will Nonlinear Solver be guaranteed to identify the level of training that maximizes productivity? No Yes b. If training is set to 5, what will be the resulting level of productivity? (Round your answer to the nearest whole number.) Level of productivity

The data in the table below represents the square footage and rents (dollars per month) for apartments in a section of a large city. Complete parts (a) through (c) below. 773 826 792 806 900 795 Square Footage, x 675 Rent per Month, R 1665 1755 1775 1765 1760 1860 1785 (a) Using a graphing utility, draw a scatter diagram of the data treating square footage as the independent variable. What type of relation appears to exist between square footage and rent? Which graph below is a scatter diagram of the data? O A. Ax 920- 660- 1660 HI Q 1880 Q RG O B. Ax 920- 660++ 1660 1880 Q Which sentence below best describes the relation between square footage and rent? ← O A. There does not appear to be any relation between square footage and rent. O B. There appears to be a quadratic relation between square footage and rent. O C. There appears to be a linear relation between square footage and rent. OC. AR 1880- 岳 1660+ 660 920 Q Q O D. AR 1880- 1660 660 920

Suppose that the profit a company makes from selling x units of a product is given by : P(x)=2x² + 600x - 100 Part A: If the company can produce at most 200 units, how many should the sell in order to maximize the profit? Part B: What is the maximum profit? $ Part C: If the company could only produce a maximum of 80 units, what would the maximum profit be? $

For a certain company, the cost for producing a items is 40x + 300 and the revenue for selling x items is 80x – 0.5x². The profit that the company makes is how much it takes in (revenue) minus how much it spends (cost). In economic models, one typically assumes that a company wants to maximize its profit, or at least wants to make a profit! Part a: Set up an expression for the profit from producing and selling x items. We assume that the company sells all of the items that it produces. (Hint: it is a quadratic polynomial.) Part b: Find two values of that will create a profit of $50. The field below accepts a list of numbers or formulas separated by semicolons (e.g. 2; 4; 6 or x + 1; x – 1). The order of the list does not matter. To enter va , type sqrt(a).