6. The following table reflects the cost structure (in millions) of AUS for hosting international conferences. Use the table to answer the questions below: Number of conferences 0 1 2 3 4 5 6 Total cost 0 6 9 13 18 26 (a) Using the information, calculate the marginal cost for the 5th conference. (b) Assuming that the marginal benefit is constant at AED 7 million, how many conferences should AUS host? (c) Assuming that the marginal benefit is constant at AFD 3.5 million, how many conferences
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- Q 0 A: 1 2 3 4 5 6 7 8 9 10 TB 0 1350 2 550 A 4500 5 250 5 850 6 300 6 600 6750 6 750 B: TC 0 150 450 900 1500 2250 3 150 4 200 B 6750 8 250 rate. Calculate then enter the correct answer for the missing numbers: The marginal cost in the above table is C: rate. The marginal benefit in the above table is NB 0 1 200 2 100 2 700 3 000 3 000 C 2 100 1 200 0 -1500 MB D: 1 350 D 1 050 900 750 600 450 300 150 0 E: MC - 150 300 450 600 750 900 E 1 200 1350 1 500 at a(n) at a(n) MNB F: 1 200 900 600 F 0 - 300 -600 - 900 -1 200 -1 500A steel firm creates water pollution for a downstream fishery. The price and cost functions for steel and fish are as follows: Price of steel 30 Cost function for steel Csteel(s,x) 6s + 3s? – 20x + 2x² Price of fish 50 Cost function for fish Cfish(f,x) 20f+5f² + 14x +x? (a) How much steel (s), pollution (x) and fish (f) will the steel and fish plants produce if they are merged and act to maximize joint profit? (Maximise joint profit)● ● The marginal benefit to Lesley of staycations during the year at a hotel are given by the ollowing schedule: Number of Weekend Staycations 1 2 3 4 5 Marginal Benefit $550 $460 $390 $250 $200 $150 If the marginal cost of a staycation at the hotel is constant and equal to $360, how many weekends at the hotel is Lesley likely to enjoy? If Lesley stays for 5 weekends, what is the net benefit/(cost)?
- What is the total cost associated with producing eight units of the control varlable, a (identify point B in the tablej? 34 Marginal Harginal Harginal Net Bеnefit Control Total Net Costs Benefits Benefit Total variable Benefits Cost Sepped B(Q) C(Q) MB(0) MC(0) MND (0) 900 100 800 900 100 800 2 1,700 300 800 200 600 2,400 600 1,800 700 E 400 1,000 1,500 400 500 2,000 2,000 1,800 1,400 4 600 200 3,500 500 3,900 2,100 D 600 -200 4,200 4,400 4,500 2,800 300 700 -400 800 200 800 -600 4,500 100 900 -800 10 4,500 5,500 -1,000 1,000 -1,000 Mutiple Choice 3,000 3,600 3,800 4,200During the night, the electricity sector has a marginal cost of $1/MWh (megawatt-hour) forthe first 100 MWh produced (from wind turbines), and $20/MWh for each additional unit (from gasgenerators). During the day, they have a marginal cost of $1/MWh (megawatt-hour) for the first 50MWh produced (from solar panels), and $20/MWh for each additional unit (from gas generators).Nighttime and daytime demand are given by QnightD = 50 −P and QdayD = 200 −P , respectively.What are the market quantity and price during the day, and the market quantity and price at night?This is a model of the wholesale market for electricity, which you can think of as being competitive,but there is no resale between night and day.DrivingNowhere is producing automobile spare parts. Consider the following data to answer below given questions. Annual demand 30500 Daily demand 100 Daily production 800 Desired lot size 200 Holding cost per uit per year $10 (a) Compute the setup cost so as to comply with the desired lot size. (b) Compute the setup time if hourly setup labor cost is $40.
- 1. A company has determine the price and the monthly demand of its products are related by 2700 5000 the equation p = 38 + D is the monthly demand. The associated fixed costs are $1000 per month and the variable costs are $40/ unit. Use this information to answer the following: a. What is the optimal number of units that should be produced and sold each month? b. Show that your answer in (a) maximizes profit. c. Determine the value of D that represents the break-even point? D2 for D> 1, where p is the price per unit in dollar and DWhat is the marginal cost associated with producing three units of the contral variable, O (identify point E in the tablej? 36 Total Total Costs Benefits Benefit Net Marginal Marginal Narginal Net Bеnefit Control variable Benefits Cost MB(0) MC (Q) MND (0) Sepped B(Q) C(0) 900 100 800 900 100 800 2 1,700 300 800 200 600 2,400 600 1,800 700 E 400 4 1,000 2,000 600 400 200 3,500 1,500 2,000 500 500 600 1,800 1,400 3,900 2,100 D -200 4,200 4,400 2,800 300 700 -400 200 100 800 800 -600 4,500 4,500 900 -800 10 4,500 5,500 -1,000 1,000 -1,000 Mutiple Choice 50 100 200 3003. The relationship between marginal and average costs Consider the following scenario to understand the relationship between marginal and average values. Suppose Paolo is a professional basketball player, and his game log for free throws can be summarized in the following table. Fill in the columns with Paolo's free-throw percentage for each game and his overall free-throw average after each game. Game Result Total Game Free-Throw Percentage Average Free-Throw Percentage 6/8 75 8/16 10/20 18/30 26/40 Game 1 2 3 4 5 RCENTAGE 6/8 2/8 2/4 8/10 8/10 On the following graph, use the orange points (square symbol) to plot Paolo's free-throw percentage for each game individually, and use the green points (triangle symbol) to plot his overall average free-throw percentage after each game. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. 90 75 Game Free-Throw Percentage A Average Free-Throw Percentage
- Teresa is a hard-working second-year university student. One Thursday, she decides to work nonstop until she has answered 100 practice problems for her physics course. She starts work at 8:00 AM and uses a table to keep track of her progress throughout the day. She notices that as she gets tired, it takes her longer to solve each problem. Time 8:00 AM 9:00 AM 10:00 AM 11:00 AM Noon Total Problems Answered 0 40 70 90 100 Use the table to answer the following questions. The marginal, or additional, gain from Teresa's second hour of work, from 9:00 AM to 10:00 AM, is The marginal gain from Teresa's fourth hour of work, from 11:00 AM to noon, is problems. problems. Later, the teaching assistant in Teresa's physics course gives her some advice. "Based on past experience," the teaching assistant says, "working on 35 problems raises a student's exam score by about the same amount as reading the textbook for 1 hour." For simplicity, assume students always cover the same number of pages during…41- A colleague at work takes small amounts of IT supplies such as flash drive for her own personal use, saying that this is a tiny loss to the company. You tell her that if everyone were to take office supplies, then the loss would no longer be minimal . Your rationale expresses which of the following ethical issues: O a Property issues O bPrivacy issues Oc Accuracy issues O d Accessibility issuesTotal Costs (000s of dollars) 20 000 18 000 16 000 14 000 12 000- 10 000- 8 000 6 000 4 000 2000 0 4000 0 2000 5 1000 10 15 20 Output (golf carts per month) TC TVC Refer to the figure. How much is the total cost (TC) when the total output is zero? TFC T 25 30