A concrete company transports concrete from three plants, 1, 2 and 3, to three construction sites, A, B and C. The plants can supply the following quantity of concrete (in tons) per week: Plant Supply(Capacity)
1 300
2 300
3 100

The requirements of the sites, in number of tons per week, are:

Construction site Demand(requirment)
A 200
B 200
C 300

The cost of transporting I ton Of concrete from each plant to each site is shown in the table below (in dollars per ton).

From A B C
1 4 3 6
2 7 5 9
3 4 5 5

How much concrete should the company ship from each plant to each construction site to fill the demand while minimizing the transportation cost?
a. List and explain carefully what the decision variables are?
b. Write out the objective function.
c. Write out the constraints.

Michigan mattress company is considering the purchase of land and the construction of a new plant. the land, which would be bought immediately (at t = 0), has a cost of $100,000 and the building, which would be erected at the end of the first year (t = 1), would cost $500,000. it is estimated that the firm's afterminustax cash flow will increase by $100,000 starting at the end of the second year, and that this incremental flow would increase at a 10 percent rate annually over the next 10 years. what is the approximate payback period?

Grey company holds an overdue note receivable of $800,000 plus recorded accrued interest of $64,000. the effective interest rate is 8%. as the result of a court-imposed settlement on december 31, year 3, grey agreed to the following restructuring arrangement: reduced the principal obligation to $600,000.forgave the $64,000 accrued interest.extended the maturity date to december 31, year 5.annual interest of $40,000 is to be paid to grey on december 31, year 4 and year 5. the present value of the interest and principal payments to be received by grey company discounted for two years at 8% is $585,734. grey does not elect the fair value option for reporting the debt modification. on december 31, year 3, grey would recognize a valuation allowance for impaired loans of

Vulcan flyovers offers scenic overflights of mount st. helens, the volcano in washington state that explosively erupted in 1982. data concerning the company’s operations in july appear below: vulcan flyovers operating data for the month ended july 31 actual results flexible budget planning budget flights (q) 56 56 54 revenue ($350.00q) $ 16,500 $ 19,600 $ 18,900 expenses: wages and salaries ($3,300 + $91.00q) 8,354 8,396 8,214 fuel ($31.00q) 1,904 1,736 1,674 airport fees ($870 + $35.00q) 2,730 2,830 2,760 aircraft depreciation ($11.00q) 616 616 594 office expenses ($240 + $1.00q) 464 296 294 total expense 14,068 13,874 13,536 net operating income $ 2,432 $ 5,726 $ 5,364 the company measures its activity in terms of flights. customers can buy individual tickets for overflights or hire an entire plane for an overflight at a discount. required: 1. prepare a flexible budget performance report for july that includes revenue and spending variances and activity variances.