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Assignment Week 1 1. Jack works in the hardware section of a department store. A customer comes in and buys 3 gallons of paint and 7 brushes, and...

Assignment Week 11.1. Jack works in the hardware section of a department store. A customer comes in andbuys 3 gallons of paint and 7 brushes, and pays $69.96, including 6% sales tax. Anothercustomer buys 2 gallons of paint and 3 brushes and pays $42.40, including sales tax. Findthe price of a gallon of paint and that of a brush.Paint $16.40 per gallon, brushes $2.40 each ♥1.2. The cash flows from two projects under different states of the economy are asfollows:State of the economyProbabilityProject AProjectBPoor10%$13,000$0Average20%$14,000$7000Good70%$16,000$16,000.9952 ♥1.3. Stewart Company has cost of capital 14%. The following function represents theshortage cost for its net working capitalSfor x > 9Here S is the shortage cost in thousands of dollars, and x is the level of the net workingcapital, also in thousands of dollars. Find the following:(A) The optimum level of net working capital.(B) The financing cost, shortage cost, and total cost at the optimal point.(A) $13,629, (B) $1908, $648, $2556 per year ♥1.4. Granger Company's cost of capital is 13%. It has invested x (million dollars) incurrent assets. The following function represents the shortage cost of current assetsS = 9 e−x/5Find the following:(A) The optimal level of current assets.(B) The shortage, financing, and total annual cost of these assets.(A) $13.140 million, (B) $650,000, $1.708 million, $2.358 million ♥

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