Consider a tuna stock at the beginning of time t, denoted by the variable Xt, measured in metric tons. Suppose that in each period, the stock of tuna grows according to the difference equation X4+1 = X+ + F(X+) – Ht, where F(X+) is a function representing the net growth of tuna and H+ is the harvest of tuna at time t. Suppose that net growth of tuna depends on the size of the fish stock and is given by the function F(X+) = X+(1 – Xt). 1.A. (0.5 points] Explain the concept of a steady state. What are the biological steady states for the tuna stock if there is no harvesting? Are these steady states stable? 1.B. [0.5 points] Is there some level of X at which the net growth of tuna is maximized? If so, what is it? 1.C. [0.5 points] Now suppose that we have the following simple rule for determining the harvest of tuna: H+ = aXt. Determine the steady state stock and harvest levels of tuna. (Note: Actually, there are two steady states, one when X = 0. I'm only interested in the second one.)

•broussard skateboard’s sales are expected to increase by 15% from $8 million in 2016 to $9.2 million in 2017. its assets totaled $5 million at the end of 2016. broussard is already at full capacity, so its assets must grow at the same rate as projected sales. at the end of 2016, current liabilities were $1.4 million, consisting of $450,000 of accounts payable, $500,000 of notes payable, and $450,000 of accruals. the after-tax profit margin is forecasted to be 6%, and the forecasted payout ratio is 40%. use the afn equation to forecast broussard’s additional funds needed for the coming year

Suppose that the world price of steel is $100 a ton, india does not trade internationally, and the equilibrium price of steel in india is $60 a ton. suppose that india now begins to trade internationally. the price of steel in india the quantity of steel produced in india a. does not change; does not change b. falls; increases c. falls; decreases d. rises; decreases e. rises; increases the quantity of steel bought by india india steel. a. increases; exports b. decreases; imports c. decreases; exports d. does not change; neither imports nor exports e. increases; imports

Lo.2, 3, 9 lori, who is single, purchased 5-years class property for $200,00 and 7-years class property for $420,000 on may 20, 2018. lori experts the taxable income derived form the business (without regard to the amount expensed under ⧠179) to be about $550,000. lori has determined that she should elect immediate ⧠179 expensing in the amount of $520,000, but she doesn’t know which asset she should completely expense under ⧠179. she does not claim any available additional first-year depreciation. a. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 5-year class asset. b. determine lori’s total cost recovery deduction if the ⧠179 expense is first taken with respect to the 7-year class asset. c. what is your advice for lori? d. assume that lori is in the 24% marginal tax bracket and that she uses ⧠179 on the 7-year asset. determine the present value of the tax savings from the depreciation deductions for both assets. see appendix g for present value factors, and assume a 6% discount rate. e. assume the same facts as in part (d), except that lori decides not to use ⧠179 on either asset. determine the present value of the tax savings under this choice. in addition, determine which option lori should choose. f. present your solution to parts (d) and (e) of the problem in a spreadsheet using appropriate microsoft excel formulas. e-mail your spreadsheet to your instructor with a two-paragraph summary of your findings.