A company produces two types of solar panels per year: x thousand of type A and...
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows.
R(x,y)=3x+5y
C(x,y)=x^2− 4xy + 9y^2 + 7x - 43y - 9
Determine how many of each type of solar panel should be produced per year to maximize profit.
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A company produces two types of solar panels per year: x
thousand of type A and...
A company produces two types of solar panels per year: x thousand of type A and...
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. R(x,y) = 4x + 5y C(XY) x2 - 4xy+By2 + 12x - 51y-2 Determine how many of each type of solar panel should be produced per year to maximize profit. The company will achieve a maximum profit by selling solar panels of type...
Sunny Inc produces both regular and high performance of solar panels. Data related to each product...
Sunny Inc produces both regular and high performance of solar panels. Data related to each product it as follows: Regular High Performance Sales: $35 $82 DM: 14 47 DL: 8 13 VMOH. 6 10 Units per direct 6.30 up/h 3.40 up/h labor hour Most of the assembly process is done by hand: A total of 3,500 direct labor hours are available each year. Required: If there is unlimited demand for each product, how many of each type of panes should...
2. (40 points) A monopolistically competitive company assembles and installs solar panels it imports at $10...
2. (40 points) A monopolistically competitive company assembles and installs solar panels it imports at $10 per unit. All remaining costs of the company, denoted RC, is given by the following (as a function of per unit solar panel): RC(Q) = 1,000+5Q2 The demand faced by this company is given by Q-16.67-xP where P denotes the price, Q denotes the quantity and x is currently equal to 1/30. a) (10) points) What is the optimal production level, Q*, and what...
Sheet A company produces units of product and units of product (both in hundreds per month)....
Sheet A company produces units of product and units of product (both in hundreds per month). The monthly profit equation (in thousands of dollars) is given by the following: P(x,y) - 4x2 + 4xy - 3y2 + 4x + 10y + 81 Find and evaluate . Use formulas to get an exact answer! Pxx.y) Px(1,3) What does this value mean? Answer in this textbox. Answer: What is the critical point of? What are the equations for, and ? o po...
Sheet A company produces units of product and units of product (both in hundreds per month)....
Sheet A company produces units of product and units of product (both in hundreds per month). The monthly profit equation (in thousands of dollars) is given by the following: P(x,y) - 4x2 + 4xy - 3y2 + 4x + 10y + 81 Find and evaluate . Use formulas to get an exact answer! Pxx.y) Px(1,3) What does this value mean? Answer in this textbox. Answer: What is the critical point of? What are the equations for, and ? o po...
A one product company finds that its profit. P. in millions of dollars, is given by...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
A manufacturing company produces two models of an HDTV per week, x units of model A...
A manufacturing company produces two models of an HDTV per week, x units of model A and y units of model B with a cost (in dollars) given by the following function. C(x,y)= 3x² + 6y2 If it is necessary (because of shipping considerations) that x + y = 180, how many of each type of set should be manufactured per week to minimize cost? What is the minimum cost?
Suppose a company has fixed costs of $54,400 and variable cost per unit of 1/3x +...
Suppose a company has fixed costs of $54,400 and variable cost per unit of 1/3x + 333 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 2065 - 2/3x dollars per unit. (a) Find the break-even points. (b) Find the maximum revenue. (c) Form the profit function P(x) from the cost and revenue functions. Find maximum profit. (d) What price will maximize the profit
Wild West produces two types of cowboy hats. A Type 1 requires twice as much labor...
Wild West produces two types of cowboy hats. A Type 1 requires twice as much labor time as a Type 2. If all the available labor time is dedicated to Type 2 alone, the company can produce a total of 400 Type 2 hats a day. The respective market limits for the two types are 150 and 200 hats per year. The revenue is $8 per Type 1 hat and $5 per Type 2 hat. a) Determine the number of...
2. (3 points) A company produces x units of commodity A and y units of commodity...
2. (3 points) A company produces x units of commodity A and y units of commodity B. All the units can be sold for p = 90 – x dollars per unit of A and q = 60 – y dollars per unit of B. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y) = + 2xy + y? What should x and y be to maximize profit? What is this maximum profit...
A company produces two types of solar panels per year: x thousand of type A and y thousand of type B. The revenue and cost equations, in millions of dollars, for the year are given as follows. R(x,y) = 4x + 5y C(XY) x2 - 4xy+By2 + 12x - 51y-2 Determine how many of each type of solar panel should be produced per year to maximize profit. The company will achieve a maximum profit by selling solar panels of type...
2. (40 points) A monopolistically competitive company assembles and installs solar panels it imports at $10 per unit. All remaining costs of the company, denoted RC, is given by the following (as a function of per unit solar panel): RC(Q) = 1,000+5Q2 The demand faced by this company is given by Q-16.67-xP where P denotes the price, Q denotes the quantity and x is currently equal to 1/30. a) (10) points) What is the optimal production level, Q*, and what...
Sheet A company produces units of product and units of product (both in hundreds per month). The monthly profit equation (in thousands of dollars) is given by the following: P(x,y) - 4x2 + 4xy - 3y2 + 4x + 10y + 81 Find and evaluate . Use formulas to get an exact answer! Pxx.y) Px(1,3) What does this value mean? Answer in this textbox. Answer: What is the critical point of? What are the equations for, and ? o po...
Sheet A company produces units of product and units of product (both in hundreds per month). The monthly profit equation (in thousands of dollars) is given by the following: P(x,y) - 4x2 + 4xy - 3y2 + 4x + 10y + 81 Find and evaluate . Use formulas to get an exact answer! Pxx.y) Px(1,3) What does this value mean? Answer in this textbox. Answer: What is the critical point of? What are the equations for, and ? o po...
A one product company finds that its profit. P. in millions of dollars, is given by the following equation where x is the amount spent on advertising, in P(x,y)= 4xy +50y - 9y? 10 1 y-80 Find the values of x and y that maximize the profit function, the maximized function value, and interpret these results. The maximum function value occurs at POD-1 The maximum profit of $is attained when is spent on advertising and the company charges per item...
A manufacturing company produces two models of an HDTV per week, x units of model A and y units of model B with a cost (in dollars) given by the following function. C(x,y)= 3x² + 6y2 If it is necessary (because of shipping considerations) that x + y = 180, how many of each type of set should be manufactured per week to minimize cost? What is the minimum cost?
Wild West produces two types of cowboy hats. A Type 1 requires twice as much labor time as a Type 2. If all the available labor time is dedicated to Type 2 alone, the company can produce a total of 400 Type 2 hats a day. The respective market limits for the two types are 150 and 200 hats per year. The revenue is $8 per Type 1 hat and $5 per Type 2 hat. a) Determine the number of...
2. (3 points) A company produces x units of commodity A and y units of commodity B. All the units can be sold for p = 90 – x dollars per unit of A and q = 60 – y dollars per unit of B. The cost (in dollars) of producing these units is given by the joint-cost function C(x, y) = + 2xy + y? What should x and y be to maximize profit? What is this maximum profit...
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