Inputs and outputs raphael's performance pizza is a small restaurant in new york city that sells gluten-free pizzas. raphael's very tiny kitchen has barely enough room for the three ovens in which his workers bake the pizzas. raphael signed a lease obligating him to pay the rent for the three ovens for the next year. because of this, and because raphael's kitchen cannot fit more than three ovens, raphael cannot change the number of ovens he uses in his production of pizzas in the short run. however, raphael's decision regarding how many workers to use can vary from week to week because his workers tend to be students. each monday, raphael lets them know how many workers he needs for each day of the week. in the short run, these workers are ovens are inputs, and the raphael's daily production schedule is presented in the following table. fill in the blanks to complete the marginal physical product of labor column for each worker. outp marginal physical product of labor number of workers (pizzas) (pizzas) 90 120 140 150 4

As the marginal propensity to consume (mpc) increases, the multiplier remains the same. increases. decreases. as the marginal propensity to save (mps) increases, the multiplier decreases. increases. remains the same. if the marginal propensity to consume is 0.30, what is the multiplier, assuming there are no taxes or imports? round to the tenths place. given the multiplier that you calculated, by how much will gross domestic product (gdp) increase when there is a $1,000 increase in government spending? $

Consider each of the following cases: case accounting break-even unit price unit variable cost fixed costs depreciation 1 127,400 $ 38 $ 25 $ 711,000 ? 2 124,000 ? 41 2,500,000 $ 900,000 3 5,753 117 ? 171,000 100,000 required: (a) find the depreciation for case 1. (do not round your intermediate calculations.) (b) find the unit price for case 2. (do not round your intermediate calculations.) (c) find the unit variable cost for case 3. (do not round your intermediate calculations.)

Companies in the u. s. car rental market vary greatly in terms of the size of the fleet, the number of locations, and annual revenue. in 2011 hertz had 320,000 cars in service and annual revenue of approximately $4.2 billion. the following data show the number of cars in service (1000s) and the annual revenue ($ millions) for six smaller car rental companies (auto rental news website, august 7, 2012). excel file: data14-09.xls if required, enter negative values as negative numbers. a. select a scatter diagram with the number of cars in service as the independent variable. b. what does the scatter diagram developed in part (a) indicate about the relationship between the two variables? c. use the least squares method to develop the estimated regression equation (to 3 decimals). ŷ = + x d. for every additional car placed in service, estimate how much annual revenue will change. by $ e. fox rent a car has 11,000 cars in service. use the estimated regression equation developed in part (c) to predict annual revenue for fox rent a car. round your answer to nearest whole value. $ million hide feedback partially correct