Suppose that the profit from the sale of Kisses and Kreams is given by the following, where x is the number of pounds of Kisses and y is the number of pounds of Kreams. P(x, y) = 10x + 6.6y-0.001x²0.025y² dollars You know from previous experience that, for such a profit function, profit will be maximized at the critical point of P(x,y). (a) Determine the amounts of Kisses and Kreams that will maximize profit. pounds of Kisses pounds of Kreams (b) What is the maximum profit? (Round your answer to two decimal places.) $
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- you are an accountant for a manufacterer of radios. the demand function for the tablets is p= 40-4x2 where x is the number of tablets produced in millions. it costs the company $15 to make a tablet. write an equation for the manufactures profit as a function of the number of tablets produced. the company currently produces 1 million tablets and makes a profit of $21000000, but you would like to scale up production a bit, what greater number of tablets could the company produce to yield the same profitLet's say jacky has a demand function for a product made in Ney york city given that the function D(q)=-1.15q+270, where q is the number of items in demand and D(q) is the price per item, in dollars, that can be charged when q units are sold. Say that the fixed costs of production for the item is $5,000 and variable costs are $10 per item produced. If 100 items are produced and sold, what are the finds :You are selling ice cream bars from a cart. You sell them for $0.75 per bar. Your cost for the ice cream is $0.30 per bar, and your cost for the rental of the cart is $50.a) Write a formula for your profit from selling ice cream bars. Be sure to identify all yourvariables and the units used.b) What is the slope of the profit function? What is its meaning in terms of selling icecream bars?c) What is the vertical intercept of the profit function? What is its meaning in terms ofselling ice cream bars?d) What is the horizontal intercept of the profit function? What is its meaning in termsof selling ice cream bars?
- You are given the profit function: Profit = 100Q – Q2 – 100 – 0.5Q2a. In words, how would you find the quantity you should produce to maximize profits?b. What is the slope of this line at that optimal profit point, and how does its value tell you that you areat the optimal quantity?c. In words, what would the slope of that line be if you produced a quantity smaller than the optimalquantity? In words, what would the slope of that line be if you produced a quantity greater than theoptimal quantity?7. A company that sells toys models their profit with the function P(x) = -4x3 + 32x? – 64. Their profit P, in thousands of dollars, is a function of the number of toys sold x measured in hundreds. What do the key features of the graph reveal about the profits? What is the maximum profit the company can make?ASK YOUR TEACHER The function gives the weekly profit, in thousand dollars, that an airine makes on its fights from Boston to Washington DC when the ticket price spelers 2nterpret the f () (60)-S When the ticket price is s (b) (60)-4.5 When the ticket price is s () (90)--2 [SA When the ticket price is s the weekly profit to the airline on fights from Boston to Washington is s MY NOTES the weekdy profit to the airtine on fights from Boston to Washington is by the weekly profit to the airine on fights from Bestion to Washington bedby
- Q2)Tony Keonte owns a factory that manufactures Eye-Games. His weekly profit (in thousands of dollars) is given by the following function: P(x) = -4x2 + 80x- 300. Where x is the number of Eye-Games sold. a) What is the largest number of Eye-Games that the company can sell and still make profit? (25 points) b) How many Eye-Games will the firm have to produce and sell in order to maximize profit? (25 points)15. The marginal profit in dollars on Brie cheese sold at a cheese store is given by P'(x) = x (20x² + 60x), where x is the amount of cheese sold, in hundreds of pounds. The "profit" is - $50 when no cheese is sold. a. Find the profit function. b. Find the profit from selling 300 pounds of Brie cheese. a. Find the profit function. P(x) = b. Find the profit from selling 300 pounds of Brie cheese. The profit from selling 300 pounds of Brie cheese is $You are an accountant for a manufacturer of radios. The demand function for the tablets is p= 40– 4x² where x is the number of tablets produced in millions. It costs the company $15 to make a tablet. (i). Write an equation for the manufacturer's profit as a function of the number of tablets produced. (ii). The company currently produces 1 million tablets and makes a profit of $21,000,000, but you would like to scale up production a bit. What greater number of tablets could the company produce to yield the same profit?
- 3. Which of the following is NOT an example of a sunk cost? a) Purchase of a hamburger after starting to eat it b) Purchase of a movie ticket thirty minutes after the film has started c) Purchase of an item on Amazon...fifty days after delivery d) Purchase of a gallon of milk after you start drinking it e) Purchase of a new TV set with the receipt 4. Suppose we have another firm known as Sepanyan Corporation which makes a product known as Yeghias. Suppose the firm’s FC=$8,000 and its TC=$10,000 and its AVC=$5. What is the ATC? a) $25.00 b) $67.50 c) $100.25 d) $200 e) Not enough information 5. Which of the following is true concerning a competitive firm? a) It will produce even when its economic profit is zero b) It prefers not to maximize profits c)t is the only firm in the market d) Its quantity choice will affect the market price e) People’s PED for the firm’s specific product is inelasticA-Z Suppose that a technological innovation decreases BYOB's costs so that it now faces the marginal cost (MC) and average total cost (ATC) given on the following graph. Specifically, the technological innovation causes a decrease in average fixed costs, thereby lowering the ATC curve and moving the MC curve. Place the black point (plus symbol) on the following graph to indicate the profit-maximizing price and quantity for BYOB. If BYOB is making a profit, use the green rectangle (triangle symbols) to shade in the area representing its profit. On the other hand, if BYOB is suffering a loss, use the purple rectangle (diamond symbols) to shade in the area representing the loss. bongo 4.00 3.50 Monopoly Outcome 3.00 2.50 Profit A 2.00 Loss 1.50 АТС 1.00 0.50 MC MR 0.5 1.0 1.5 2.0 2.5 3.0 3.5 4.0 QUANTITY (Thousands of cans of beer) PRICE (Dollars per unit)Suppose that the Travnikar Corporation manufactures widgets. Analysts that work for the company have found a function C(x) which reports the cost to produce x widgets and a function R(x) which reports the total revenue from selling x widgets. Currently, the company is producing 500 widgets, but the analysts find that R'(500)=85 and C'(500)=79. In order to maximize profits, should the analysts recommend increasing or decreasing production?