XYZ firm operates factories in three towns (A, B, and C), which distribute to three retail stores (X, Y, and Z). The following table summarizes factory maximum supplies, stores' demands, and unit shipping costs. What is the optimal solution that minimizes costs? A B C N X Y Supply 12 7 5 100 17 13 10 100 2 2 18 100 Demand 50 80 70
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- Assume the demand for a companys drug Wozac during the current year is 50,000, and assume demand will grow at 5% a year. If the company builds a plant that can produce x units of Wozac per year, it will cost 16x. Each unit of Wozac is sold for 3. Each unit of Wozac produced incurs a variable production cost of 0.20. It costs 0.40 per year to operate a unit of capacity. Determine how large a Wozac plant the company should build to maximize its expected profit over the next 10 years.PRICING SUITS AT SULLIVANS Sullivans is a retailer of upscale mens clothing. Suits cost Sullivans 320. The current price of suits to customers is 350. which leads to annual sales of 300 suits. The elasticity of the demand for mens suits is estimated to be 2.5 and assumed to be constant over the relevant price range. Each purchase of a suit leads to an average of 2.0 shirts and 1.5 ties being sold. Each shirt contributes 25 to profit, and each tie contributes 15 to profit. Determine a profit-maximizing price for suits. In the complementary-product pricing model in Example 7.3, we have assumed that the profit per unit from shirts and ties is given. Presumably this is because the prices of these products have already been set. Change the model so that the company must determine the prices of shirts and ties, as well the price of suits. Assume that the unit costs of shirts and ties are, respectively, 20 and 15. Continue to assume that, on average, 2.0 shirts and 1.5 ties are sold along with every suit (regardless of the prices of shirts and ties), but that shirts and ties have their own separate demand functions. These demands are for shirts and ties purchased separately from suit purchases. Assume constant elasticity demand functions for shirts and ties with parameters 288,500 and 1.7 (shirts), and 75,460 and 1.6 (ties). Assume the same unit cost and demand function for suits as in Example 7.3. a. How much should the company charge for suits, shirts, and ties to maximize the profit from all three products? b. The assumption that customers will always buy, on average, the same number of shirts and ties per suit purchase, regardless of the prices of shirts and ties, is not very realistic. How might you change this assumption, and change your model from part a accordingly, to make it more realistic?1. XYZ Company is specialized in mangoes distribution in the city of Muscat. Sales are 500 boxes (unit) per month. It costs OR 10 to make and receive an order and holding cost is OR per box per year. The prices depend on quantities purchased such that the order quantities from 1 to 199 at a unit price RO 5; quantity 200 to at a unit price 4.5 RO; and quantity 500 and more at a per unit price of 4 RO. What is the Economic Order Quantity (EOQ) while not consider the purchase cost ? Round -up to the nearest integer a. 164 units b. 199 units c. 500 units d. 180 units E. None is correct
- XYZ Company is specialized in mangoes distribution in the city of Muscat. Sales are 500 boxes (unit) per month. It costs OR 10 to make and receive an order and holding cost is OR 2.5 per box per year. The prices depend on quantities purchased such that the order quantities from 1 to 199 at price RO 5; quantity 200 to 499 at a unit price 4.5 RO; and quantity 500 and more at a per unit price of 4 RO. What is the Economic Order Quantity (EOQ) while not consider the purchase cost? Round - up to the nearest integer?? a. 199 units O b. None is correct 500 units d. 180 units e. 220 unitsOranges are grown, picked and then stored in warehouses in Tampa, Miami, and Fresno.Theses warehouses supply oranges to markets in New York, Philadelphia, Chicago, and Boston.The following table shows the shipping costs per truckload (in hundreds of dollars), supply, anddemand. Because of an agreement between distributors, shipments are prohibited from Miamito Chicago:To (cost, in $100)From New York Philadelphia Chicago Boston SupplyTampa 9 14 12 17 150Miami 11 10 6 10 250Fresno 12 8 15 7 200Demand 110 250 140…A mail-order house uses 18,000 boxes a year. Carrying costs are 60 cents per box a year, andordering costs are $96. The following price schedule applies. Determine the following:a. The optimal order quantityb. The number of orders per yearNumber of Boxes Price per Box1,000 to 1,999 $1.25 2,000 to 4,999 1.205,000 to 9,999 1.1510,000 or more 1.10
- XYZ Company is specialized in mangoes distribution in the city of Muscat. Sales are 400 boxes (unit) per month. It costs OR 10 to make and receive an order and holding cost is COR 3.5 per box per year. The prices depend on quantities purchased such that the order quantities from 1 to 199 at a unit price RO 5; quantity 200 to 499 at a unit price 4.5 RO; and quantity 500 and more at a per unit price of 4 RO. If the discount option is considered, then the best decision that minimizes the total annual inventory cost isA local outdoor vegetable stand has exactly 1,000 square feet of space to displaythree vegetables: tomatoes, lettuce, and zucchini. The appropriate data for theseitems are given in the following table.ItemTomatoes Lettuce ZucchiniAnnual demand 850 1,280 630(in pounds)Cost per pound $0.29 $0.45 $0.25The setup cost for replenishment of the vegetables is $100 in each case, and thespace consumed by each vegetable is proportional to its costs, with tomatoes requiring 0.5 square foot per pound. The annual interest rate used for computingholding costs is 25 percent. What are the optimal quantities that should be purchased of these three vegetables?When Vidalia onions are ready, the entire 13 county (plus parts of seven other counties) area in Georgia where they are grown is devoted to the harvest, packaging and shipping of this delicacy. The Onion Shack currently purchases from all counties and the cost of shipments is given by LTL = $200 + 0.05x (where x is the quantity demanded). If the daily demand for the next 2 weeks is given in the following table, Week 1 Week 2 Monday 20095 39296 Tuesday 17595 2283 Wednesday 11441 20758 Thursday 26317 23495 Friday 20388 24225 Saturday 8506 19728 Sunday 25502 18567 (a) determine whether a 2-day, 3-day or 4-day response is the best. (b) what is the optimal response time?
- 12. XYZ Company is specialized in mangoes distribution in the city of Muscat. Sales are 500 boxes (unit) per month. It costs OR 10 to make and receive an order and holding cost is OR 3.5 per box per year. The prices depend on quantities purchased such that the order quantities from 1 to 199 at a unit price RO 5; quantity 200 to 499 at a unit price 4.5 RO; and quantity 500 and more at a per unit price of 4 RO. If the discount option is considered, then the best decision that minimizes the total annual inventory cost is a. 185 units, Total cost = 30,649 b. 500 units, Total cost = 24,995 c. 200 units, Total cost =27,240 d. None is correct e. 450 units, Total cost = 23,500Erett's utillity function can be written as a where zy the quanity of hambargers conmutned and zy is the quantity of milk shakes. e Income le $2,000 00. 2nd attempt Part 1 Hamburgers cost $8.00 each and the price of one milk shake is $4.00, If he is maximiziog his utility, how much will Brett spendon hamburgers? S20 Part 2 The price of hamburgers decreases to $7.37 each. Now, how much will Brett spend on hamburgers if he is maimiping his utikity? S 135.68What are the determinants of Demand? The demand function is x = 80 + 2P + 5P^2 where 'x' is the demand for the commodity atPrice 'P'. Find the elasticity of demand at P = 5.