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Business calc
1. A stereo manufacturer finds that at a price of $500 per stereo, the...
A company Inc. finds that it costs $200 to produce each motorized scooter and that the...
A company Inc. finds that it costs $200 to produce each motorized scooter and that the forced costs are $1,000 per day yielding the cost function C(x) = 200x + 1,000 The price is given by p=600 - 5x, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company Inc. should produce and the price it should charge to maximize profit. Find the maximum profit How many...
its in hours 2. A manufacturer of vacuum cleaners produces three models of canister-style vacuum cleaners-the...
its
in hours
2. A manufacturer of vacuum cleaners produces three models of canister-style vacuum cleaners-the X-100, X-200, and X-300-on a production line with three stations-motor assembly, final assembly, and test. The line is highly automated and is run by three operators, one for each station. Data on production times, material cost, sales price, and bounds on demand are given in the following tables: Product Material Cost ($/Unit) Price $/Unit) Minimum Demand Maximum Demand (Units per Month) (Units per Month)...
The owner of a small-appliance manufacturer finds that if the firm produces and sells x blenders...
The owner of a small-appliance manufacturer finds that if the firm produces and sells x blenders monthly, the total monthly profit P (in dollars) is given by Px=8x+0.3x2-0.0013x3-372. The owner wants to produce no more than 225 blenders/month in order to maintain quality. (SLO #1, 2, 6) 1-Find the y-intercept and explain what it means in this context. 2-Find the x-intercept(s) and explain what they mean in this context. 3 -Determine the domain of the function in the context of...
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations...
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 40x and p(x)= 300 - 500SX S 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company 54 for each set it produces, how many sets should the company...
The weekly demand function for x units of a product sold by only one firm is...
The weekly demand function for x units of a product sold by only one firm is p = 600 – 3x dollars, and the average cost of production and sale is 7 = 400 + 2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. per unit (c) What is the maximum profit?
14. Suppose that when the price of a certain commodity is p dollars per unit, then...
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
Problem 1: An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (me...
Problem 1: An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by kx)-125x2 +670x 125 where P k(x). a) Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit b) The cost of the ice cream cone is too low then the ice cream shop...
The demand x for a web camera is 35,000 units per month when the price is $20 and 40,000 units when the price is $15. The initial investment is $275,000 and the cost per unit is $14. Assume that the d...
The demand x for a web camera is 35,000 units per month when the price is $20 and 40,000 units when the price is $15. The initial investment is $275,000 and the cost per unit is $14. Assume that the demand is a linear function of the price. Find the profit P, in dollars, as a function of x. P(x) = Using the differential approximate the change in profit for a one-unit increase in sales when x = 22,000. dP...
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equation...
#4
& 5, work shown.
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. 4) p 400-0.lx and C(x)-25,000+135x Find the weekly revenue function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the weekly revenue? a) b) c) Find the weekly profit function. What price should the company charge for the phones, and how many phones...
A company Inc. finds that it costs $200 to produce each motorized scooter and that the forced costs are $1,000 per day yielding the cost function C(x) = 200x + 1,000 The price is given by p=600 - 5x, where p is the price in dollars at which exactly x scooters will be sold. Find the quantity of scooters that the company Inc. should produce and the price it should charge to maximize profit. Find the maximum profit How many...
its
in hours
2. A manufacturer of vacuum cleaners produces three models of canister-style vacuum cleaners-the X-100, X-200, and X-300-on a production line with three stations-motor assembly, final assembly, and test. The line is highly automated and is run by three operators, one for each station. Data on production times, material cost, sales price, and bounds on demand are given in the following tables: Product Material Cost ($/Unit) Price $/Unit) Minimum Demand Maximum Demand (Units per Month) (Units per Month)...
A company manufactures and sells x television sets per month. The monthly cost and price-demand equations are C(x) = 72,000 + 40x and p(x)= 300 - 500SX S 9000. (A) Find the maximum revenue. (B) Find the maximum profit, the production level that will realize the maximum profit, and the price the company should charge for each television set. (C) If the government decides to tax the company 54 for each set it produces, how many sets should the company...
The weekly demand function for x units of a product sold by only one firm is p = 600 – 3x dollars, and the average cost of production and sale is 7 = 400 + 2x dollars. (a) Find the quantity that will maximize profit. units (b) Find the selling price at this optimal quantity. per unit (c) What is the maximum profit?
14. Suppose that when the price of a certain commodity is p dollars per unit, then x hundred units will be purchased by consumers, where = -0.05 x + 38 The cost of producing x hundred units is hundred dollars is C(x) = 0.02x2 + 3x + 574.77 hundred dollars a. Express the profit P obtained from the sale of x hundred units as a function of x. Sketch the graph of the profit function. b. Use the profit curve...
Problem 1: An ice cream shop finds that its weekly profit P (measured in dollars) as a function of the price x (measured in dollars) it charges per ice cream cone is given by the function k, defined by kx)-125x2 +670x 125 where P k(x). a) Determine the maximum weekly profit and the price of an ice cream cone that produces that maximum profit b) The cost of the ice cream cone is too low then the ice cream shop...
#4
& 5, work shown.
A company manufactures and sells x cellphones per week. The weekly price-demand and cost equations are given below. 4) p 400-0.lx and C(x)-25,000+135x Find the weekly revenue function. What price should the company charge for the phones, and how many phones should be produced to maximize the weekly revenue? What is the weekly revenue? a) b) c) Find the weekly profit function. What price should the company charge for the phones, and how many phones...
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