There are 800 consumers in an economy that each have the same utility function given by u(c, l) = 32√ c − (24 − l)2 where c is their consumption and l is the number of hours they spend for leisure. a single firm serves the market with production function y = 32l1/2k1/2 . the firm cannot choose its capital stock, which is fixed at k = 1600. you can assume the price level is equal to 1 so real and nominal wages are equivalentquestion: solve for an individual consumer’s labor supply as a function of the real wage and total supply of labor hours for the economy in one day as a function of the real wage (hint: you will need to use the budget constraint to cancel out consumption)

Bridge building company estimates that it will incur $1,200,000 in overhead costs for the year. additionally, the company estimates 50,000 direct labor hours will be spent building custom walking bridges for the year at a total direct labor cost of $600,000. what is the predetermined overhead rate for bridge building company if direct labor costs are to be used as an allocation base?

Cooper sues company a in state court in south carolina, where he lives, for negligence alleging personal injury and property damage of $100,000 after a truck driven by an employee of company a rear-ended his pickup truck. company a is incorporated in delaware, has its headquarters in new york, but does a substantial amount of business in south carolina. claiming diversity of citizenship, company a seeks removal to federal district court, but cooper opposes the motion. which of the following is true regarding whether the case may be properly removed to federal district court? the amount in controversy satisfies diversity requirements; and if company a's nerve center is in a state other than south carolina, then the case may be properly removed to federal court.the amount in controversy satisfies diversity requirements; and because company a is incorporated and has its headquarters in a state other than south carolina, the case may be properly removed to federal court.because the amount in controversy satisfies diversity requirements and company a is incorporated in a state other than south carolina, the case may be properly removed to federal court regardless of where company a's headquarters, nerve center, or principal place of business is located.because the amount in controversy satisfies diversity requirements and company a is headquartered in a state other than south carolina, the case may be properly removed to federal court regardless of where company a is incorporated and regardless of the location of its nerve center.because the amount in controversy fails to satisfy jurisdictional requirements, regardless of the location of company a, the case may not be removed to federal court.

Palmer frosted flakes company offers its customers a pottery cereal bowl if they send in 3 boxtops from palmer frosted flakes boxes and $1. the company estimates that 60% of the boxtops will be redeemed. in 2012, the company sold 675,000 boxes of frosted flakes and customers redeemed 330,000 boxtops receiving 110,000 bowls. if the bowls cost palmer company $3 each, how much liability for outstanding premiums should be recorded at the end of 2012?