Peter's utility function is U (x; y) = x + 10y y2=2; where x is the number of x0s he consumes per week and y is the number of y0s he consumes per week. Peter has $200 a week to spend. The
price of x is 1. The price of y is currently $3 per unit. Peter has received an invitation to join a
club devoted to consumption of y. If he joins the club, Peter can get a discount on the purchase of
y. If he belonged to the club he could buy y for $1 a unit. How much is the most Peter would be
willing to pay to join this club

When a company produces and sells x thousand units per week, its total weekly profit is p thousand dollars, where upper p equals startfraction 800 x over 100 plus x squared endfraction . the production level at t weeks from the present is x equals 4 plus 2 t. find the marginal profit, startfraction dp over dx endfraction and the time rate of change of profit, startfraction dp over dt endfraction . how fast (with respect of time) are profits changing when tequals8?

Kendra knight took part in a friendly game of touch football. she had played before and was familiar with football. michael jewett was on her team. in the course of play, michael bumped into kendra and knocked her to the ground. he stepped on her hand, causing injury to a little finger that later required its amputation. she sued michael for damages. he defended on the ground that she had assumed the risk. kendra claimed that assumption of risk could not be raised as a defense because the state legislature had adopted the standard of comparative negligence. what happens if contributory negligence applies? what happens if the defense of comparative negligence applies?

Rolston music company is considering the sale of a new sound board used in recording studios. the new board would sell for $27,200, and the company expects to sell 1,570 per year. the company currently sells 2,070 units of its existing model per year. if the new model is introduced, sales of the existing model will fall to 1,890 units per year. the old board retails for $23,100. variable costs are 57 percent of sales, depreciation on the equipment to produce the new board will be $1,520,000 per year, and fixed costs are $1,420,000 per year.if the tax rate is 35 percent, what is the annual ocf for the project?