Suppose that separable programming has been applied to a certain problem (the “original problem”) to convert it to the following equivalent LP model maxz=5x11+4x12+2x13+4x21+x22s. t. 3x11+3x12+3x13+2x21+2x22≤252x11+2x1 2+2x13−x21−x22≤10x11≤2x12≤3x21≤3x22 ≤1x11,x12,x13,x21,x22≥0 1. What was the mathematical model for the original problem? Answer this by plotting the profit graph for each of the original activities and then writing the optimization model (do only the step number 5 of the modeling process) for the original problem in terms of the original decision variables (Hint: Pay special attention to the constraints)

Acompany using the perpetual inventory system purchased inventory worth $540,000 on account with credit terms of 2/15, n/45. defective inventory of $40,000 was returned 2 days later, and the accounts were appropriately adjusted. if the company paid the invoice 20 days later, the journal entry to record the payment would be

Cardinal company is considering a project that would require a $2,725,000 investment in equipment with a useful life of five years. at the end of five years, the project would terminate and the equipment would be sold for its salvage value of $400,000. the company’s discount rate is 14%. the project would provide net operating income each year as follows: sales $2,867,000 variable expenses 1,125,000 contribution margin 1,742,000 fixed expenses: advertising, salaries, and other fixed out-of-pocket costs $706,000 depreciation 465,000 total fixed expenses 1,171,000 net operating income $571,000 1. which item(s) in the income statement shown above will not affect cash flows? (you may select more than one answer. single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer. any boxes left with a question mark will be automatically graded as incorrect.) (a)sales (b)variable expenses (c) advertising, salaries, and other fixed out-of-pocket costs expenses (d) depreciation expense 2. what are the project’s annual net cash inflows? 3.what is the present value of the project’s annual net cash inflows? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.) 4.what is the present value of the equipment’s salvage value at the end of five years? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.) 5.what is the project’s net present value? (use the appropriate table to determine the discount factor(s) and final answer to the nearest dollar amount.)

Which of the following comes after a period of recession in the business cycle? a. stagflation b. a drought c. a boom d. recovery