Dwight is selling baskets of beets. If the profit in selling a baskets is P(x) = 200x² 3 200x + 400 x² +1000 200x and the price-demand function is given by p(x) = 50+ Estimate the cost of producing ". 3 the 21st basket of beets.
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- A used car dealership rents 210 cars for $9 a day. They want to increase the price to maximize their profits. They notice that if they increase the price by $1.25 that they have fewer rentals. Create an equation for profit for the car dealership rental sales. Determine the price of the rental that maximizes profitYou 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?Kendra bought 208 donuts for $80. Her profit was $45 once she had sold 100 donuts. Which equation below represents Kendra's profit P(n). as a function of the number sold, n?
- function for the lightweight compasses is given by p = 40- 4q²where q is the number of lightweight compasses produced in millions. It costs the company $15 to make a lightweight compass. (i) Write an equation giving profit as a function of the number of lightweight compasses produced. (ii) At the moment the company produces 2 million lightweight compasses and makes a profit of $18,000,000, but you would like to reduce production. What smaller number of lightweight compasses could the company produce to yield the same profit? Type your answer here: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)The marginal cost of producing the xth box of light bulbs is 4 + x2 dollars per box. Determine how much is added to the total cost by a change in production from x = 20 to x = 80 boxes. 1,000
- Bill runs a business that makes custom-printed towels. It will cost him $8 each to purchase and print on towels, and he will have to pay a rent of $1,700 per month for him workshop. Based on market research, Bill estimates that he can sell custom towels for $25 each. a) Calculate the number of towels he needs to sell per month to break-even. towels b) Calculate the break-even in dollars (round off to the nearest cent).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 profitDoes the value of λ change if the budget changes from $4600 to $5600?What condition must a Cobb-Douglas production function q = cKαW β satisfy toensure that the marginal increase of production is not affected by the size of thebudget?
- 6 A production function is given by f(x1,x2)=(max{x1,x2})^0.5. Prices of inputs are p1=10 and p2=20. What is the lowest cost of producing 10 units of output?Find the demand function for the marginal function below. Recall that if no items are sold, the revenue is $0. R'(x) = 0.03x2-0.08x + 196To produce x units of a religious medal costs C(x) = 15x + 108. The revenue is R(x) = 33x. Both cost and revenue are in dollars. a. Find the break-even quantity. b. Find the profit from 410 units. c. Find the number of units that must be produced for a profit of $180. a. units is the break-even quantity.. (Type an integer.)