A firm had sales revenue of $1 million last year. It spent $600,000 on labor, $150,000 on capital and $200,000 on materials. The firm's factory sits on land owned by the firm that could be rented out for $30,000 per year. What was the firm's economic profit last year?

Afinancial institution, the thriftem bank, is in the process of formulating its loan policy for the next quarter. a total of $12 million is allocated for that purpose. being a full-service facility, the bank is obligated to grant loans to different clientele. the following table provides the types of loans, the interest rate charged by the bank, and the possibility of bad debt as estimated from past experience.type of loaninterest rateprobability of bad debtpersonal.140.10car.130.07home.120.03farm.125.05commercial.100.02 bad debts are assumed unrecoverable and hence produce no interest revenue either. competition with other financial institutions in the area requires that the bank allocate at least 40% of the total funds to farm and commercial loans. to assist the housing industry in the region, home loans must equal at least 50% of the personal, car, and home loans. the bank also has a stated policy specifying that the overall ratio for bad debts on all loans may not exceed .04. formulate this problem as a linear program. define your variables clearly and write all the constraints explaining the significance of each.

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.

Swathmore clothing corporation grants its customers 30 days' credit. the company uses the allowance method for its uncollectible accounts receivable. during the year, a monthly bad debt accrual is made by multiplying 3% times the amount of credit sales for the month. at the fiscal year-end of december 31, an aging of accounts receivable schedule is prepared and the allowance for uncollectible accounts is adjusted accordingly. at the end of 2012, accounts receivable were dollar 586.000 and the allowance account had a credit balance of dollar 50,000. accounts receivable activity for 2013 was as follows: the company's controller prepared the following aging summary of year-end accounts receivable: prepare a summary journal entry to record the monthly bad debt accrual and the write-offs during the year. (if no entry is required for a particular event, select "no journal entry required" in the first account field.) prepare the necessary year-end adjusting entry for bad debt expense. (if no entry is required for an event, select "no journal entry required" in the first account field.) what is total bad debt expense for 2013? calculate the amount of accounts receivable that would appear in the 2013 balance sheet?