hat price should Jon charge for a quarterly subscription to maximize his revenue?
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John own a local gold market that currently has 9870 x 870 subscriber in Instagram at a quarterly charge of R.O. 20. He notices that if he raises the price of his commodity to R.O. 24, he will lose 9870 subscriber. Assuming that subscriptions are linearly related to the price, what price should Jon charge for a quarterly subscription to maximize his revenue?
In this problem it is given that for subscribers we have got a quarterly price of RO 20
When the RO is raised by 4 units that is 24, the number of subscribers become 8577030
Assuming price and quantity to be linearly related, let us first find the linear relationship between price or RO(p) and number of subscribers (q)
The slope of the straight line
So by using the formula for point slope form of straight line
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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.33) please please help me with this Next week, Super Discount Airlines has a flight from New York to Los Angeles that will be booked to capacity. The airline knows from history that an average of 28 customers (with a standard deviation of 14) cancel their reservation or do not show for the flight. Revenue from a ticket on the flight is $122. If the flight is overbooked, the airline has a policy of getting the customer on the next available flight and giving the person a free round-trip ticket on a future flight. The cost of this free round-trip ticket averages $228. Super Discount considers the cost of flying the plane from New York to Los Angeles a sunk cost. By how many seats should Super Discount overbook the flight? Note: Use Excel's NORM.S.INV function to find the z value. Round z value to 2 decimal places. Round your answer to the nearest whole number.The local supermarket buys lettuce each day to ensure very fresh produce. Each morning, any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week, the supermarket can buy fresh lettuce for $4 a box. The lettuce is sold for $10 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. Past history says that tomorrow’s demand for lettuce averages 250 boxes, with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?
- Three years ago, Barbara Jones started a business that creates and delivers holiday and birthday gift baskets to students at the local university. Barbara sells the baskets for $ 29 each, and her variable costs are $ 19 per basket. She incurs $ 12,500 in fixed costs each year. Last year, Barbara sold 4,000 baskets, and she believes that demand this year will be stable at 4,000 baskets. The following are the actions Barbara could take if she wants to earn $ 30,900 in operating income by selling only 4,000 baskets. Consider each action independently. (Round per unit answers to 2 decimal places, e.g. 52.75 and fixed cost to 0 decimal places, e.g. 5,275.) Raise selling price per unit to? Reduce variable costs per unit to? Reduce fixed costs to?Torrance Refinery produces approximately 23.1 Million barrels of gasoline per year. A California distributor sources its gasoline from the Torrance refinery. The annual demand for gasoline at the California distributor is 5.3 Million barrels. The cost of storing gasoline is approximately $29 per barrel (per year). The cost of placing an order to the Torrance refinery (including shipping) is $7300 per order. Orders will be received gradually instead of delivered all at once (hence EPQ). At what quantity will the total cost of procurement be the lowest? Round your answer to the nearest whole number. Do NOT include a comma. For example, answer like 103542 and NOT 103,542 Answer: 58845 CheckThe local supermarket buys lettuce each day to ensure fresh produce. Each morning any lettuce that is left from the previous day is sold to a dealer that resells it to farmers who use it to feed their animals. This week the supermarket can buy fresh lettuce for $4.00 a box. The lettuce is sold for $10.00 a box and the dealer that sells old lettuce is willing to pay $1.50 a box. History says that tomorrow’s demand for lettuce averages 250 boxes with a standard deviation of 34 boxes. How many boxes of lettuce should the supermarket purchase tomorrow?
- The owner of a boat has estimated the following distribution of demand for a particular kind of boat. No. demanded o 1 2 3 Probability 0.10 0.20 0.30 0.40 Each boat costs him (c + d) rials and he sells them for (2 • c + 2 • d) rials each. Prices are given in hundreds rial units. Boats that are left unsold at the end of the season must be disposed off for (c + d – 2) rials each. How many should be stocked so as to maximize his expected profit?Jasmine owns 12 apartment buildings in a college town, which it rents exclusively to students. Each apartment building contains 120 rental units, but the owner is having cash flow problems due to an average vacancy rate of nearly 50 percent. The apartments in each building have comparable floor plans, but some buildings are closer to campus than others. Jasmine’s accumulated data from last year on the number of apartments rented, the rental price (in dollars), and the amount spent on advertising (in hundreds of dollars) at each of the 12 apartments are available below. These data, along with the distance (in miles) from each apartment building to campus, are presented below. Jasmine is looking for expert advice on the available data to inform administrative and business policy. By applying this scenario, help her regress the quantity demanded of her apartments on price, advertising, and distance datasets by using Excel or SPSS. Observation or (Number of Apartments) Quantity…Downtown Health Clinic needs to order influenza vaccinesfor the next flu season. The Clinic charges its patients $15.00per vaccination and each dose of vaccine costs the clinic$4.00 to purchase. The Center for Disease Control has a longstanding policy of buying back unused vaccines for $1.00 perdose. The Clinic estimates the following probability distribu-tion for the season’s demand:Demand Probability2,000 0.053,000 0.204,000 0.255,000 0.406,000 0.10 a. How many vaccines should the Clinic order to maximizeits expected profit?b. The Clinic is trying to determine if they should participatein a new Federal program in which the cost of each dose isreduced to $2.00. However, to participate in the program,they can charge no more than $10.00 per vaccine. Onstrictly a profit maximizing basis, should the Clinic agreeto participate?
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