The total revenue for a product is given by
R(x) = 3000x − x2
where x is the number of units sold. What is lim x→280 R(x)?
Polynomial limits have no restrictions.
The total revenue for a product is given by R(x) = 3000x − x2 where x is the number of units sold. What is lim x→280 R(x)?
The total revenue function for a product is given by R=655x dollars, and the total cost function for this same product is given by C=19,250+70x+x2, where C is measured in dollars. For both functions, the input x is the number of units produced and sold. a. Form the profit function for this product from the two given functions. b. What is the profit when 25 units are produced and sold? c. What is the profit when 43 units are produced...
The total revenue function for a certain product is given by The total revenue function for a certain product is given by R=630x dollars, and the total cost function for this product is C = 10,000+ 30x + x2 dollars, where x is the number of units of the product that are produced and sold. a. Find the profit function. b. Find the number of units that gives maximum profit. c. Find the maximum possible profit. a. P(x)= (Simplify your...
The total revenue R (in dollars) is directly proportional to the number of units sold x. When 25 units are sold, the total revenue is $275. Find a mathematical model that relates the total revenue R to the number of units sold x
For a certain product, cost C and revenue R are given as follows, where x is the number of units sold in hundreds. Cost: C2 = x2 + 102 VX +55 Revenue: 892(x - 5)2 + 25R2 = 16,900 dC a. Find the marginal cost dy at x = 5. The marginal cost is estimated to be $ (Do not round until the final answer. Then round to the nearest hundredth as needed.)
36. Revenue Suppose that the revenue function for a certain product is given by R(x) = 15(2x + 1)-1 + 30x – 15 where x is in thousands of units and R is in thousands of dollars. (a) Find the marginal revenue when 2000 units are sold. (b) How is revenue changing when 2000 units are sold?
3. The revenue function for a sound system is R(x) = 200x - x? dollars where x denotes the number of units sold. (a) What is the expression that gives marginal revenue? Solution: R(x) = 200x – x2 Expression that gives marginal revenue is R(x) = 200 – 2x. (b) What is the marginal revenue if 50 units are sold? Solution: 200 – 2(50) = 100
Given the cost function C(x) and the revenue function R(x), find the number of the units x that must be sold to break even. C(x)=1.4+4800 and R(x)=1.7x How many units must be produced and sold in order to break even?
1. In 2019, X Company sold 5,650 units of its only product. Total revenue was $1,415,890, total variable costs were $773,485, and total fixed costs were $616,000. In 2020, there are only two expected changes: variable costs will increase by $4.60 per unit, and fixed costs will decrease by $21,200. How many units must X Company sell in 2020 in order to earn $32,000? 2. In 2019, X Company's profit function was 0.40R - $93,700, where R is revenue. In...
The revenue function R(x) and the cost function C(x) for a particular product are given. These functions are valid only for the specified range of values. Find the number of units that must be produced to break even. R(x) = 200x - 2x2 ; C(x) = - x2 + 5x + 8450 ; 0 ≤ x ≤100 The manufacturer must produce --------------- units to break even.
Given the cost function, C(x), and the revenue function, R(x), find the number of units x that must be sold to break even. C(x) = 81x + 1750 R(x) = 106x