Let g (D, y) be the profit when the order quantity is y and the demand is D. In the newsvendor problem, we aim to maximize the expected profit. Which of the following expressions is the mathematical representation of this objective? maxp Eg(D, y)] O max, E[g(D, y)] O Emaxp g(D, y)] max, g(E[D], y) Emax, 9(D, y)]
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![Let g (D, y) be the profit when the order quantity is y and the demand is D. In the newsvendor
problem, we aim to maximize the expected profit. Which of the following expressions is the
mathematical representation of this objective?
maxp E[g(D, y)]
max, E[g(D, y)]
E[maxp g(D, y)]
O maxy g(E[D], y)
O E[max, g(D, y))](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa7926248-1389-4752-a179-a3bc80070159%2F28466f49-9d7f-4fed-8050-2b28e940c7ec%2Ffyt7s7_processed.jpeg&w=3840&q=75)
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- Profit Suppose that the total weekly cost for theproduction and sale of x bicycles is C(x) = 23x +3420 dollars and that the total revenue is givenby R(x) = 89x dollars, where x is the number ofbicycles.a. Write the equation of the function that models theweekly profit from the production and sale of xbicycles.b. What is the profit on the production and sale of150 bicycles?c. Write the function that gives the average profit perbicycle.d. What is the average profit per bicycle if 150 areproduced and sold?A company has determined that its prodor for a product can be described by linear function. The profit from the production and sales of the 150 units is $455, and the profit from 250 units is $895 1. What is the average rate of change of the profit for the product when between 150 and 250 units are sold? 2. Write the equation of the profit function for this product? 3. How many units give break-even for this product?Cost, Revenue & ProfitFor these problems, xx will represent the number of items and yy will represent the money.The fixed costs for a certain item are $215 per week. The cost to produce each item is $2 per item.Using this information, what is the cost equation? Give your answer in slope-intercept form:y=y= The retailer intends to sell each item for $13/item.Using this information, what is the revenue equation? Give your answer in slope-intercept form:y=y= If in this week 13 items are made, and all items are sold in the week, what are the total costs to the retailer?Cost = $What is the revenue from selling 13 items?Revenue = $Finally, what is the profit for this retailer?Profit = $Box 1 & 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/cBe sure your variables match those in the question.
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- The demand function for a tablet is given by the model P= 200-16x2 where p is measured in dollars per tablet and x is measured in millions of tablets. If it costs $50 to produce each tablet and a profit of $125 million was derive when 2.5 million tablets were produced. Derive the number of tablets that the company could sell to make the same amount of profit?A company estimates that the relationship between. unit price and demand per month for a potential new product is approximated by p= $100.00-$0.10D. The company can produce the product by increasing fixed costs $17,500 per month, and the estimated variable cost is $40.00 per unit. What is the demand that maximizes revenue and the maximum revenue? What is the optimal demand, D*, and based on this demand, should the company produce the new product? Why? (Work out the complete solution by differential calculus, starting with the formula for profit or loss per month.)The demand function for a crrtain product is giving by p=500+1000/(Q+1). where p is tje price and q is the number of units demand. Fimd the average price as demand ranges from 49 to 99
- A company produces and sells a consumer product and is able to control the demand for the product by varying the selling price. The approximate relationship between price and demand is p= 200-0.05D where p is the price per unit in dollars and D is the demand per month. The company is seeking to maximize its profit. The fixed cost is $15000 per month and the variable cost is $50 per unit. a. What is the number of units that should be produced and sold each month to maximize profit? b. What is the domain of profitable demand during a month? Show your spreadsheet.internor point of a show that a point I i not on set E f and points{In Cantiqing is a sequence of if there to I and no point I,G E onl Infinix HOT 10A company has established that the relationship between the sales price for one of its products and the quantity sold per month is approximately p= 75 -0.10 (D is the demand or quantity sold per month and p is the price in doilars). The fbxed cost is $1.000 per month and the variable cost is $30 per unit produced. a. What is the maximum profit per month for this product? b. What is the range of profitable demand during a month? a. The maximum profit per month for this product is S (Round to the nearest dollar.) b. The range of profitable demand during a month is from units to units. (Round up the lower limit and down the upper limit to the nearest whole number.)