3. A company manufactures two types of products: A and B. Three resources R1, R2, and R3 are required to make these products. a. Each unit of product A requires 8 units of R1 and 4 units of R2. b. Each unit of product B requires 2 units of R1, 5 units of R2, and 3 units of R3. The availabilities of resources R1, R2, and R3 are 500, 400, and 180, respectively. The manufacturer also makes a profit of $20 and $50 for products A and B, respectively. Formulate a linear programming problem whose solution will tell the manufacturer how to maximize the total profit. • What are the decision variables? • What is the objective? • What is the objective function? • What are the constraints?

The county collector of suncoast county is responsible for collecting all property taxes levied by funds and governments within the boundaries of the county. to reimburse the county for estimated administrative expenses of operating the tax agency fund, the agency fund deducts 1.5 percent from the collections for the town, the school district, and the other towns. the total amount deducted is added to the collections for the county and remitted to the suncoast county general fund. the following events occurred in 2017: 1. current-year tax levies to be collected by the agency were: county general fund $ 10,333,000 town of bayshore general fund 4,840,000 suncoast county consolidated school district 6,550,000 other towns 3,120,000 total $ 24,843,000 2. $13,700,000 of current taxes was collected during the first half of 2017.3. liabilities to all funds and governments as a result of the first half-year collections were recorded. (a schedule of amounts collected for each participant, showing the amount withheld for the county general fund and net amounts due the participants, is recommended for determining amounts to be recorded for this transaction.)4. all cash in the tax agency fund was distributed. requireda. prepare journal entries for each of the foregoing transactions that affected the tax agency fund. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1. record the current-year tax levies to be collected by the agency.2.record the current taxes collected during the first half of 2017.3.record the liabilities due to all funds and governments at the end of first half-year.4. record the distribution of all cash in the tax agency fundb. prepare journal entries for each of the foregoing entries that affected the town of bayshore general fund. begin with the tax levy entry, assuming 2 percent of the gross levy will be uncollectible. (if no entry is required for a transaction/event, select "no journal entry required" in the first account field. do not round intermediate calculations. round your answers to the nearest whole dollar amount.)1.record the revenues receivable and uncollectible.2. record the taxes collected

Which of the following statements is correct? a. two firms with identical sales and operating costs but with different amounts of debt and tax rates will have different operating incomes by definition. b. free cash flow (fcf) is, essentially, the cash flow that is available for interest and dividends after the company has made the investments in current and fixed assets that are necessary to sustain ongoing operations. c. retained earnings as reported on the balance sheet represent cash and, therefore, are available to distribute to stockholders as dividends or any other required cash payments to creditors and suppliers. d. if a firm is reporting its income in accordance with generally accepted accounting principles, then its net income as reported on the income statement should be equal to its free cash flow. e. after-tax operating income is calculated as ebit(1 - t) + depreciation.

Arnold rossiter is a 40-year-old employee of the barrington company who will retire at age 60 and expects to live to age 75. the firm has promised a retirement income of $20,000 at the end of each year following retirement until death. the firm's pension fund is expected to earn 7 percent annually on its assets and the firm uses 7% to discount pension benefits. what is barrington's annual pension contribution to the nearest dollar for mr. rossiter? (assume certainty and end-of-year cash flows.)