Vollmer manufacturing makes three components for sale to refrigeration companies. the components are processed on two machines: a shaper and a grinder. the times (in minutes) required on each machine are as follows: 164245342the shaper is available for 120 hours, and the grinder is available for 110 hours. no more than 200 units of component 3 can be sold, but up to 1000 units of each of the other components can be sold. in fact, the company already has orders for 600 units of component 1 that must be satisfied. the profit contributions for components 1, 2, and 3 are $8, $6, and $9, respectively. a. write the lp model to maximize profit and solve it to find the optimal number of components and total profit. b. what are the objective function coefficient ranges for the three components? interpret these ranges for company management. c. what are the right hand side ranges for the shaper constraint? interpret the shadow price for this constraint and the right hand side for this constraintd. if more grinder time could be made available, how much would it be worth? e. if more units of component 3 can be produced, how much would an additional unit add to profit?

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Data pertaining to the current position of forte company are as follows: cash $437,500 marketable securities 170,000 accounts and notes receivable (net) 320,000 inventories 700,000 prepaid expenses 42,000 accounts payable 240,000 notes payable (short-term) 250,000 accrued expenses 310,000 required: 1. compute (a) the working capital, (b) the current ratio, and (c) the quick ratio. round ratios to one decimal place. 2. compute the working capital, the current ratio, and the quick ratio after each of the following transactions, and record the results in the appropriate columns of the table provided. consider each transaction separately and assume that only that transaction affects the data given. round to one decimal place. a. sold marketable securities at no gain or loss, 75,000. b. paid accounts payable, 135,000. c. purchased goods on account, 100,000. d. paid notes payable, 105,000. e. declared a cash dividend, 125,000. f. declared a common stock dividend on common stock, 45,000. g. borrowed cash from bank on a long-term note, 205,000. h. received cash on account, 130,000. i. issued additional shares of stock for cash, 635,000. j. paid cash for prepaid expenses, 15,000.

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