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An electronics retailer wants to send codes for  $10  off a pair of headphones to the subscribers of its e-mail list. The coupon code will have two letters followed by three digits. The letters  A ,  B ,  C , and  D  and the digits  6  and  9  will not be used. So, there are  22  letters and  8  digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated? couponcodes

Technology B uses 4 workers and 2 tonnes of coal to produce 100 meters of cloth. The worker's wages cost $10 and coal costs $5. We have previously calculated that the total cost of production is $50 and that the vertical intercept of the isocost line is 10.If there was a technology that used 1 more worker, how much would it have to decrease the coal required in order to cost the same? (Note: this is the absolute value of the slope of the isocost line.)

Thank you for helping me understand but for the step 2 calculations, is the final answer 4.768 or 3.387? Or is both a part of it?

From a certain place K, 2000 people set off for work in the distant place S in the morning by car. Each of the drivers must decide whether to come to place S via point G or via point D (see the directed graph below). The travel time on segments G-S and K-D is not dependent on the number of drivers: each driver traverses the G-S segment in 60 minutes, and the K-D segment in 45 minutes, regardless of the number of drivers. However, the travel time on segments K-G and D-S depends on the number of drivers: if x drivers travel on the K-G segment, each driver on this segment consumes 0.005x minutes; if x drivers travel on the D-S segment, each driver on this segment consumes 0.01x minutes (see the directed graph below). Assume that all people start simultaneously and do not know the decisions of other people. Find all pure Nash equilibria of the game.

Plastic cups are made by forming of raw plastic. The price of plastic is 4.500 OMR per kg and the price of plastic cups is 13 OMR per 1000 cups. Plant requires differ- ent machine which cost about 50,000 OMR, but the machines has to be imported, after paying 25% as customs duty. On a graph paper, draw a freehand graph and represent all important parameters. Due to increase in plastic price, the break-even quantity has increased by 10%. Find out the new plastic price?

Please solve this

Jenny Company produces two types of pants: long pants and short pants. The cost of making a pair of short pants and a pair of long pants are RM 75 and RM 95 respectively. In one week, the company must produce at least 150 pants of each type. The minimum weekly production is 500 pants. The short pants are sold for RM 120 each and the long pants for RM 150 each. Using the graphical method, find: a. The number of short pants and long pants to be made in a week in order to minimise the total production cost. b. The profit made at the minimum weekly production cost.

The state of New Jersey has in circulation (as of 2011) an instant lottery game called $1,000 Downpour. The cost of each ticket for this lottery game is $5.00. A player can instantly win $75,000, $1,000, $100, $50, $20, $10, or $5. Each ticket has 19 spots covered by latex coating, and the top four spots contain numbers that, if matched by the player's numbers, win money. The remaining 15 spots belong to the player. A player wins if any of the numbers in the player's 15 spots matches any of the four winning numbers. Number of tickets that can win Prizes 0 (i.e. not a winner) 2,853,533 621,075 10 327,600 20 58,500 50 31,200 100 5525 1,000 2561 75,000 6. Total= 3,900,000 tickets sold Find and interpret the expected outcome of this game. [Write your answer as a complete sentence]

how close to -6 we have to take x so that 1/ (x+6)2 > 100 ??

The following table shows the total sales, in thousands, since a new game was brought to market. Month 0 2 4 9 8 10 12 14 Sales 0 2.2 5.4 9.5 19.1 27.2 32.9 35.4 (a) Plot this data and determine the point of diminishing returns. Enter the closest value in the table. The point of diminishing returns occurs i months after the game is introduced. (b) Predict total possible sales of this game, using the point of diminishing returns from the table. Total sales≈ i

show complete solution on a paper

1. Prepare the scatter diagram and insert the trendline or line of best-fit. Use a scaleof 2 cm to represent 1,000 units on the x-axis & 2 cm to represent $50,000 on the y-axis. 2. Using the line of best-fit, determine the company’s fixed cost per month and thevariable cost per unit. (Use 0 & 5,000 units.)

calculate the missing values and show the calculation

When real estate apents sell their own, rather than dients, houses, they leave the houses on the market for a longer time (10 davs longer on average) and wind up with better prices. Suppose that real estate apents earn a commission equal to 3% of the sale value of each house that they help sel. Suppose a real estate apent has an offer on a house of s200,000. The agent can pet a 4% higher offer with more effort and by leaving the house on the market for a few more weeks. If the agent sells the house now, he wil ean a commission of |. By keeping the house on the market and expending more etfort to sel the house, the apert can earn a commission of Thus, the agent paine E for the extra effort and time of keeping the house on the market. Supoose a real estate agent has an offer on a house that he owns. The agent has a current offer of s200,000. but can pt a 4% higher offer with more effort and by leaving the house on the market for a few more weeks, Assume that all of the commission is paid…

A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MU, while for the international market it is 15 MU.The company has the capacity to produce up to 10 tons of strawberries for sale and according to SAG restrictions, it must dedicate at least 10% of production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.d) There is the option of buying new machinery to increase the production capacity of the company. In what range should the new machine increase production capacity to suit the company? How…

A strawberry growing company is deciding its production and sale plan for the national and international markets.The sale price for each ton of strawberry depends on the quantity offered in the market. If x1 tons is offered for the domestic market, the sale price will be (30 - x1) CU / ton, while if x2 tons is offered for the international market, the sale price will be (40 - x2) CU / ton.The cost for each ton of strawberry for the domestic market is 10 MUs, while for the international market it is 15 MUs.The company has the capacity to produce up to 10 tons of strawberries for sale and, according to SAG restrictions, it must dedicate at least 10% of its production to the international market.For technical production reasons, the company must additionally satisfy the following restriction: x12 + x22 ≤64.a) Raise the NLP model that allows maximizing the net profit for the companyb) State the KKT conditions for the problem and indicate whether they are necessary and / or sufficient.c)…

Advertising A small manufacturing firm collected the following data on advertising expenditures A (in thousands of dollars) and total revenue R (in thousands of dollars). (a) Draw a scatter diagram of the data. Comment on the type of relation that may exist between the two variables (b) The quadratic function of best fit to these data is R(A) = - 7.76A2 + 411.88A + 942.72 Use this function to determine the optimal level of advertising. (c) Use the function to predict the total revenue when the optimal level of advertising is spent. (d) Use a graphing utility to verify that the function given in part (b) is the quadratic function of best fit. (e) Use a graphing utility to draw a scatter diagram of the data, and then graph the quadratic function of best fit on the scatter diagram.

in excel Price      Demand 2000       4500 2800      3600 3500      1850 4000    1200 5000    820 Based on the data above estimate the demand function. When you estimate demand curve, please compare the following options and choose the one with highest R square  Exponential Linear Power

What is the value of Y if C = 200, a = 20, and b = 0.9?

10

FCR and Average daily gain are measured in a continuous scale. true or false

None