of $8 per unit. Sales history indicates that the sales price in dollars, P, varies with the demand, D, by the function: P= 200- 0.1D Determine the following: Optimum demand for the widgets. Maximum profit that can be made. Determine the range of demands for which the company is profitable.
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- 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.Please no written by hand the demand function for a manufacturer's product is p = f(g) = - 0.20g + 500, where p is the price (in dollars) per unit when q units are demanded (per day). Find the level of production that maximizes the manufacturer's total revenue and determine this revenue. what quantity will maximize the revenue. q = blank unitsThe 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
- Need within 1 hour please...A 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.)A small factory produces a small toy with a fixed cost of S10,000month. If the factory manager wants to have a profit of $2 per unit, the revenue is $15unit and variable cost is $5/unit what is quantity to achieve this profit?
- How do we calculate the total amount of pagecant costs, price profit, profit make up and selling costsXYZ company can manufacture their own products and sells them. They are able to control the demand by changing the price that is determined by the equation below. The company is thinking of maximizing their profit. The fixed cost is $1,000 per month and the variable cost is $40 per unit. Find the number of units that must be manufactured and sold monthly to maximize profit. (Demand D in the equation is monthly) Hint: Profit = Total Revenue - Total Cost 2,700 5,000 p = $38 + D for D > 1 D2 1 Add fileHand written solutions are strictly prohibitted
- 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.)10. Smart Phones, Inc. buys one model of smartphone, paying $2370 per case of 20 phones. Find the asking price for each assuming a 40% markup on cost.Total revenue is $3500 and the output is given as 200 units. Calculate the average revenue for the firm