A. Given cost and revenue functions and C(q) = 112q + 44000 and R(q) = -3q^2 + 2500q, how many items must the company produce and sell to earn a profit of 67,900? The company must produce _ items. B....
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A. Given cost and revenue functions and C(q) = 112q + 44000 and R(q) = -3q^2 + 2500q, how many items must the company produce and sell to earn a profit of 67,900? The company must produce _ items. B....
The revenue and cost functions for a particular product are given below.
The revenue and cost functions for a particular product are given below. The cost and revenue are given in dollars, and x represents the number of unitsR(x)=-0.8x2+608xC(x)=256x+36720(a) How many items must be sold to maximize the revenue?(b) What is the maximum revenue?(c) Find the profit function.(d) How many items must be sold to maximize the profit?(e) What is the maximum profit?(f) At what production level(s) will the company break even on this product?
radios to The company must produce and sell break even. The figure shows the graphs of...
radios to The company must produce and sell break even. The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. How many radios must be produced and sold for the company to break even? 50,000 Q 45,000 40,000 R(x) = 46x 35,000 30,000 C(x) = 2,200 + 35x 25,000- 20,000 15,000 10,000 5,000- 0 0 500 1000 1500 2000 Radios Produced and Sold
2. Units cost $0.50 each to produce an item and they sell for $3.00 each. The...
2. Units cost $0.50 each to produce an item and they sell for $3.00 each. The overhead in setting up production is $2,000. a) Find the cost and the revenue functions. b) Find the breakeven point. Also graph the cost and revenue functions and label the breakeven point. c) How many units must be sold to yield a profit of $2,000? d) Find the average profit function and the rate of change of the average profit when x=20 items.
The revenue function R(x) and the cost function C(x) for a particular product are given. These...
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 Rx)200x-x2 C)5x+8750:0sxs100 The manufacturer must produce units to break even.
The revenue function R(x) and the cost function C(x) for a particular product are given. These...
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.
The cost to produce q electric cat brushes is described by the function: C(q)= 10q^2+250q, where...
The cost to produce q electric cat brushes is described by the function: C(q)= 10q^2+250q, where q is hundreds of units for volumes less than 2,000. The demand function for electric cat bushes is described by: P(q)= -q^2-3q+1280, where p represents price in dollars. 1.) What are the company's marginal cost and marginal revenue functions? 2.) Calculate the number of units that produces the maximum profit. What price should the company charge and what is the maximum profit it will...
The revenue function R(x) and the cost function C(x) for a particular product are given. These...
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- x2, C(x)=20x+6500, 0 less than or equals X less than or equals 100.The manufacturer must produce ---- units to break even.
The total revenue function for a product is given by R=655x dollars, and the total cost...
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...
Suppose a company's revenue function is given by R(q) = - q° + 200q and its...
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
3. The total cost and total revenue for a necklace are given by C(x) = 35x...
3. The total cost and total revenue for a necklace are given by C(x) = 35x + 1650 R(2) = 852 (a) Find the marginal cost. (b) Find the marginal revenue. (c) Find the marginal profit. (d) How many necklaces must be sold to break even?
radios to The company must produce and sell break even. The figure shows the graphs of the cost and revenue functions for a company that manufactures and sells small radios. How many radios must be produced and sold for the company to break even? 50,000 Q 45,000 40,000 R(x) = 46x 35,000 30,000 C(x) = 2,200 + 35x 25,000- 20,000 15,000 10,000 5,000- 0 0 500 1000 1500 2000 Radios Produced and Sold
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 Rx)200x-x2 C)5x+8750:0sxs100 The manufacturer must produce units to break even.
The cost to produce q electric cat brushes is described by the function: C(q)= 10q^2+250q, where q is hundreds of units for volumes less than 2,000. The demand function for electric cat bushes is described by: P(q)= -q^2-3q+1280, where p represents price in dollars. 1.) What are the company's marginal cost and marginal revenue functions? 2.) Calculate the number of units that produces the maximum profit. What price should the company charge and what is the maximum profit it will...
Suppose a company's revenue function is given by R(q) = - q° + 200q and its cost function is given by C(q) = 160 + 11q, where q is hundreds of units sold/produced, while R(q) and C(q) are in total dollars of revenue and cost, respectively. A) Find a simplified expression for the marginal profit function. (Be sure to use the proper variable in your answer.) MP(q) B) How many items (in hundreds) need to be sold to maximize profits?...
3. The total cost and total revenue for a necklace are given by C(x) = 35x + 1650 R(2) = 852 (a) Find the marginal cost. (b) Find the marginal revenue. (c) Find the marginal profit. (d) How many necklaces must be sold to break even?
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