$5 per copy. What is the break even point for this book if: a) the price is $10 per book; b) the price is $8 per book.
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- If during the following year it is predicted that each comedy skit will generate 30 thousand and each musical number 20 thousand, find the maximum income for the year. A television program director must schedule comedy skits and musical numbers for prime-time variety shows. Each comedy skit requires 2 hours of rehearsal time, costs 3000, and brings in 20,000 from the shows sponsors. Each musical number requires 1 hour of rehearsal time, costs 6000, and generates 12,000. If 250 hours are available for rehearsal and 600,000 is budgeted for comedy and music, how many segments of each type should be produced to maximize income? Find the maximum income.Suppose W-Mart is considering purchasing a parcel of land adjacent to the current site on which it plans to build its store. The cost of the parcel is $190,000, and it would enable WMart to increase the size of its store to 160,000 square feet. Discuss whether W-Mart should purchase the land and increase the planned size of the store.A general example of common area maintenance (CAM) charges might be as follows: (1) a retail mall contains 2 million square feet of space, of which 1.2 million is rentable area and 800,000 square feet is common area; (2) total CAM expenses are $3,000,000 for the year; and (3) anchor tenants occupy 700,000 square feet of rentable area and in-line tenants occupy 500,000 square feet. The owner of the mall has negotiated with four anchor tenants that they will pay $2 per rentable foot for CAM charges on a combined total of 700,000 square feet. As per this example, what will be the CAM charges per rentable square foot for in-line tenants?
- suppose you prefer The Department has a total budget of $50 million annually to implement four projects (A, B, C, and D). If the budget for Project A is 30% higher than the budget for Project B, the budget for Project D is the same as Project B, and the combined budgets for Project C and D are $20 million. 1. What is the budget for Projects A, B, C, and D (rounded)? a. A: $13 million; B: $10 million; C: $10 million; D: $10 million b. A: $21 million; B: $9 million; C: $11 million; D: $9 million c. Information is insufficient to calculate the budgets for each project. d. A: $17 million; B: $13 million; C: $7 million; D: $13 millionPart of the agreement between your spouse and yourself for purchasing a larger house than you could currently afford was that you would build a garden and sell produce to make some extra money. Your plan is that the garden proceeds will cover 20% of your $1,500 mortgage payment for four months during the year. The Homeowner association has recently reinforced that ‘food-production’ space must be in the backyard and may not consume more that 20% of the backyard. If your backyard is 60’ x 130’, how many dollars per garden square foot will you need to average per production month in order to meet your planned mortgage reduction?Suppose the chamber of commerce in Pinehurst, North Carolina decided to hold a professional golf tournament at the famous Pinehurst Country Club. They would probably be able to get a TV contract from a major network. The TV revenue would be about $4 million, and they would sell 60,000 tickets at $8 apiece. The fund for prizes would be 20% of their total revenue (TV plus tickets) rounded to the nearest $10,000. The prizes would be as follows (all prizes are rounded to the nearest dollar): First prize: 18% of the total prize money Second prize: 60% of the first prize Third prize: 65% of the second prize Fourth prize: 70% of the third prize Fifth prize: 75% of the fourth prize Sixth prize: 6% of the remaining prize money Seventh prize: $900 less than sixth prize Eighth prize: $900 less than seventh prize And so on, with each subsequent prize $900 less than the previous prize. The final prize would be whatever was left over, even if it…
- The water-supply manager for a Midwest city needs to supply the city with at least 10 million gal of potable (drinkable) water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 6 million gallons of potable water, and the pipeline has a maximum daily yield of 10 million gallons. By contract, the pipeline is required to supply a minimum of 6 million gallons/day. If the cost for 1 million gallons of reservoir water is $300 and that for pipeline water is $600, how much water should the manager get from each source to minimize daily water costs, C, for the city?The water-supply manager for San Francisco needs to supply the city with at least 19 million gallons of potable water per day. The supply may be drawn from the local reservoir or from a pipeline to an adjacent town. The local reservoir has a maximum daily yield of 19 million gallons of potable water, and the pipeline has a maximum daily yield of 14 million gallons. By contract, the pipeline is required to supply a minimum of 9 million gallons per day. If the cost for 1 million gallons of reservoir water is $455 and the cost for 1 million gallons of pipeline water is $310, how much water should the manager get from each source to minimize daily water costs for the city? What is the minimum daily water cost?Minimum daily water cost: $_____Pipeline: _____ million gallonsReservoir: ______ million gallonsA US firm, having prior knowledge that Russia would invade Ukraine, bought 100,000 barrels of oil from Heritage Limited , a Trinidad firm . If in January 2022, the US firm enters into a forward contract to purchase the oil at US$65 per barrel to settle in November 2022, what is the gain/loss on the contract to the US firm? The spot price of oil in November averages US$100 per barrel. a. US$35,000 loss b. US$40,000 gain c. US$40,000 loss d. US$35,000 gain
- A doughnut shop has two kitchens in which the dough is rolled out and cut. Kitchen 1 can produce up to 150 dozen per day and kitchen 2 can produce up to 125 dozen per day. The dough is then sent via conveyor belt to one of two deep fryers. The cost of sending the dough by the conveyor belt from the kitchens to the fryers is given below. From the deep fryers, the doughnuts are then loaded onto trays and sent to the bakery to be glazed. The cost to send doughnuts from Fryer A to the bakery to be glazed is $0.40 per dozen and the cost to send doughnuts from Fryer B to the bakery to be glazed is $0.33 per dozen. Additionally, doughnuts can be moved between the two fryers by cart for $0.12 per dozen. The bakery has a fixed daily demand of 200 dozen. Formulate a balanced transshipment problem to minimize the cost of meeting the bakery’s demand. Draw the network OR write the associated linear program.A bus system needs to be set up from Village of Westmont to Hinsdale (2.5 miles), then continues to Berwyn (8.5 miles), and finally terminates its run to Cicero (1 mile). The operating time is 55 minutes, the policy headway is 30 minutes, and the minimum terminal time is 19 minutes (including 6 minutes terminal time at each location of Clarendon Hills and Berwyn, and 7 minutes at Cicero). It has been established that the peak-hour demand is 500 passengers per hour and 50-seater buses are available, which can safely accommodate 25 standees. Assume the load factor is 0.8. Design the bus systemA Leading manufacturer of Action Figures is about to introduce four new Action Figures. The accompanying table summarizes price and cost data, combined fixed costs equal $650,000. A marketing research study predicts that for each unit sold of Noyan, 2 units of Dogan, 3 units of Bamsi and 4 units of Turgut will be sold. Action Figures Turgut Bamsi Dogan Noyan Selling Price (in dollars) 35 26 24 16 Variable Cost/unit (in dollars) 17 12 12 11 Table 1 How many product mix units must be sold to break even? How does it translate into sales of individual games?
