A company produces and sells a consumer product and is ableto control the demand by varying the selling price. The approximate relationship between price and demand is p = 38+ (2,700/D) - (5000/D²) for D>1 The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $40 per unit. What is the number of units that should be produced and sold each month to maximize profit? A) 71 B 60 D 50 25
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- A company produces and sells a consumer product and is able to control the demand by varying the selling price. The approximate relationship between price and demand is 2700 5000 p = 38 + (for D>1) D² The company is seeking to maximize its profit. The fixed cost is $1,000 and the variable cost is $ 40 per unit. What is the number of units and total amount that should be produced and sold each month to maximize profit?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.Use the accompanying graph to answer the following questions. Assume the company makes 83,000 parts per month of Product A and 39,000 parts per month of Product B. Click the icon to view the provided graph. (a) Which Product has the higher variable cost, and what is this value in units of dollars per part? Product B has the higher variable cost. This value is $.50 /part. (Type an integer or a decimal. Round y (b) Which Product has the higher selling price, and what is this value in units of dollars per part? Product B has the higher selling price. This value is $ 1.69 /part. (Type an integer or a decimal. Round (c) Which Product has the faster breakeven time, and what is this value in units of months? Product B has the faster breakeven time. This value is 22 month(s). (Type a whole number.) (d) At 6 years, which Product makes more profit and what is this value in units of dollars? At 6 years Product A makes more profit. This value is $4,850,000. (Type a whole number.) k my instructor…
- 6. Let p(x) = 4 – 0.0002x be the price (in TL) of each unit of a certain product required to attract a demand of x units in a year and let C(x) = 600 + 3x be the total cost of producing x units of the product in a year. (a) (- as large as possible? What is the number of units that should be produced to make the yearly profit (b) What is the yearly profit in case (a)Ruff makes dog food out of chicken and grain. Chicken has 10 grams of protein and 5 grams of fat per ounce, and grain has 2 grams of protein and 2 grams of fat per ounce. A bag of dog food must contain at least 208 grams of protein and at least 142 grams of fat. If chicken costs 10c per ounce and grain costs 1e per ounce, how many ounces of each should Ruff use in each bag of dog food to minimize costs? (chicken, grain) = What are the shadow costs of protein and fat? ¢ per g e per g protein fatYou are in charge of improving utilization of resources at a restaurant that is taking only online orders for delivery to the specific addresses. There are three kind of orders received: vegetarian, non-vegetarian and gluten free. For every vegetarian order, the chopping and dicing section, the deli-cheese section, the stir fry kitchen, and marination are used. For non-vegetarian orders; the chopping and dicing section, the deli-meat section, the marination section, and the non-veg kitchen is used. In addition to this 50% of non-vegetarian dishes go through the grilling section while the other 50% go through the baking (oven) section. Gluten free dishes go through the chopping and dicing section and the stir fry kitchen only. The typical order size consists of 25 non-veg orders, 12 veg orders and 5 gluten free orders. Marination of vegetarian dishes take 5 minutes while that of non-vegetarian dishes 1 hour. Chopping and dicing for 10 vegetarian/gluten-free dishes take an hour, while…
- Cost (thousands of $) The graph shown on the right represents the cost C (in thousands of dollars) of refining x gallons of gasoline per hour (in thousands). The vertical axis represents the cost, and the horizontal axis represents the number of gallons of gasoline refined. Cost of refining gasoline per hour 1000- 800- 600- 400- Answer the following questions below in parts (a) through (d). 200 O 100 200 300 400 500 600 700 800 Number of Gallorns (thousands) (a) What is the cost of refining 200 thousand gallons of gasoline per hour? thousandMake a Cost-Driven Design Optimization similar to thieAce Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. If the company charges $15 per pair, how many pairs must it sell to break even? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Ace would like to earn a profit of $2 million; how many pairs must they sell at a price of $15? Ace Shoe Company sells heel replacement kits for men's shoes. It has fixed costs of $6 million and unit variable costs of $5 per pair. Suppose a consultant tells Ace it can sell 700,000 heel repair kits, what price must it charge to achieve a profit of $2.5 million?
- Question No. 6 A firm manufactures cars at its plant in Swindon. At a capacity of 100 cars per week it knows that it has an assembly cost of £5,000 per car. It needs to expand production and does a series of design and cost exercises. The results are summarized below. |TP(cars/week) 200 400 600 800 1,000 1,200 1,400 1,600 Ass. cost/car 3,000 2,500 2,300 2,200 2,000 2,400 2,800 4,000 (i) Plot the cost curve for the possible factory extensions. (ii) Is this a short run or long run cost curve? (iii) Explain why this curve is U shaped.It costs a baker a fixed cost of $420 and variable cost of $2.10 per cupcake. A cupcake is sold for $4.90 each. (iv) Write an algebraic expression representing the revenue R as a function of the number of cupcakes x sold.(v) Graph both functions on the same coordinate axes.(vi) From your graph find coordinatae at which cost equals revenue.(vii) Using your graph, determine how many cupcakes need to be made to produce revenue of at least $1,029. How much profit is made for this number of cupcakes?We have the results from our first Facebook ad campaign. The following table summarizes the results broken down by age and whether the person seeing the add clicked through. Age 40 or under 85 Age more than 40 65 Total Clicked Through 150 Did Not Click 590 260 850 Total 675 325 1000 For our up(combing) (pun intended) campaign, I want to make it as effective as possible, a cut above all other ad campaigns! I'm thinking that since 85 (or 56.7%) of the 150 people who clicked through to our website are age 40 or less, we should focus our ads to only younger people. I'm not great with number though, and since I know you had a stats class in college, I wanted to get your opinion. Should we focus our adds only to those age 40 and under or should we do something else?