7. A manager receives a forecast for next year. Demand is projected to be 600 units for the firut hallof the year and 900 units for the second half. The monthly holding cost is 52 per unit, and it costs in estimated $55 to process an order. a. Assuming that monthly demand will be level during cach of the six-month periods covered by the forecast (e.g. 100 per month for each of the finst six months), determane an order sine that wall minimize the sum of ondering and earrying costs for each of the six-month periods. h. Why is it important to be able to assume that demand will be level during each six-month period? c. If the vendor is willing to offer a discount of $10 per anter for ordering in multiples of 50 units ( e.g., 50,100,150), would you advise the manager to take advantage of the offer in either period? If 90, what order size would you recommend? 9. The Friendly Sausage Factory (FSF) can produce hot dogs at a rate of 5,000 per day. FSF supplics hot dogs to local restaurants at a steady rate of 250 per dxy. The cost to prepare the equipment for producing hot dogs is 566 . Annual holding costs are 45 cents per hot dog, The factory operates 300 days a year. Find a. The optimal nun size. b. The number of runs per year: c. The length (in days) of a run. 1. A. compainy is about fo begin production of a new product. The wanager ol the department that will prodised ove of the components for the prosluct wants to know hew anter the machine alsed to porodace the item will be avallahte for other work. The machine will grodice the fem at a rate of 200 five days a week; 50 weeks a year. The manager estimales that it will take almoot in fill day fo ger laci machine ready foe a production rum, at a cost of $309. Inventory bolding cosis will be sio a yeirf a. What run quantity should be used to minimize total annaal costs? b. What is the lengh of a production run in days? c. During production, at what rate will imentory build up? d. If the manager wants to run another job between runs of this item, and needs a minumam of 100 days per cycle foe the other work, will there be enough time