Demand and supply curves can be represented with equations. Suppose that the demand for low-skilled labor, QD, is represented by the following equation, where W is the wage rate: QD, = 53,000,000 - 3,000,000W The supply of the low-skilled labor, Qs, is represented by the equation Qs = 10,000,000 + 6,000,000W. A) Find the equilibrium wage.
B) Find the equlilibrium quantity of labor.
C) what happen if the minimum wage is $8?
D) What happens if the minimum wage is $6?

The management of a supermarket wants to adopt a new promotional policy of giving a free gift to every customer who spends > a certain amount per visit at this supermarket. the expectation of the management is that after this promotional policy is advertised, the expenditures for all customers at this supermarket will be normally distributed with a mean of $95 and a standard deviation of $20. if the management wants to give free gifts to at most 10% of the customers, what should the amount be above which a customer would receive a free gift?

Jason started last week with $900 in his checking account. during the week, he wrote the checks below. at the end of the week, jason received a paycheck for $534.59. he recorded all of these transactions in his check register. trans typ./ check no. date description of transaction payment/ debit deposit/ credit (+) balance 900 00 241 12/4 miller's food market 53.21 53 21 groceries 846 79 242 12/7 frank's auto parts 24.05 24 05 oil and filter 822 74 243 12/8 mike's barber shop 15.00 15 00 haircut 807 74 deposit 12/9 paycheck 534.59 534 59 1,342 33 evaluate jason's check register. a. jason did a good job; everything is correct. b. the final balance is wrong; jason did not add everything correctly. c. jason should have written debit instead of deposit for the transaction type. d. jason entered the amount for his paycheck in the wrong column.

In 2017, "a public university was awarded a federal reimbursement grant" of $18 million to carry out research. of this, $12 million was intended to cover direct costs and $6 million to cover overhead. in a particular year, the university incurred $4 million in allowable direct costs and received $3.4 million from the federal government. it expected to incur the remaining costs and collect the remaining balance in 2018. for 2017 it should recognize revenues from the grant of