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Q: [1] Solve for the GS of (D4-5D³+9D²-7D+2)y=0
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Q: 3. Find all solutions to the equation (D² + 1)²D² f(x) = 0.
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Q: Given cost and revenue functions and C(q) = 13q + 3400 and R(q) = 30q, how many items must the…
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Q: Given cost and revenue functions and C(q)=13q+3400 and R(q)=31q, if the company needs to earn a…
A: Given cost and revenue functions and C(q)=13q+3400 and R(q)=31q, if the company needs to earn a…
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Q: "D² - D - 2)y= 1 - 2x - 9e -x
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A: This question can be solved using the concept of maxima and minima.
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Q: The weekly cost C of producing x units in a manufacturing process is given by C(x) = 60x + 1500.…
A: Given cost function is C(x)=60x+1500 Number of units produced in t hours is given by x(t)=50t
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- A basic cellular package costs $20/mo. for 60 min of calling, with an additional charge of$0.30/min beyond that time. The cost formula would, be S C=20+.30(x60) . If you have to keep your bill lower than $50, what is the maximum calling minutes you can use?A T-shirt company can produce and sell x T-shirts per day. The total cost C (in dollars) for producing x T-shirts is C=1480+6x, and the total revenue R (in dollars) is R=15x. Find the profit obtained by selling 225 T-shirts per day.The daily profit from the sale of a product is given by P = 32x − 0.2x2 − 200 dollars, where x is the number of units of production. (a) What level of production maximizes profit?
- A cell phone factory has a cost of production C(x) = 175x + 30,000 and a revenue function R(x) = 300x. What is the break-even point?Given cost and revenue functions and C(q)=12q+3500 and R(q)= 31q, how many items must the company produce and sell to break even?Given cost and revenue functions and C(q)=13q +3200 and R(q)=31q, if the company needs to earn a profit of $2500, how much money in costs should it be prepared to cover ?
- Given cost and revenue functions and C(q) =11q+3300 and R(q)=32q, how many items must the company produce and sell to earn a profit of $1500?Given cost and revenue functions and C(q)=112q+42000 R(q)=−3q^2+2500q, how many items must the company produce and sell to break even?Given the cost function C(x) = 0.85x + 35,000 and the revenue function R(x) = 1.55x, find the break-even point andthe profit function. Graph and explain the part that represents the profit. How do you find the break-even point on the graph. If you are performing a break-even analysis for a business and their cost and revenue equations are dependent, what would this means for the company’s profit margins.
- find the producers surplus at a price level of $255 for the price-supply equation p=S(x)=15+0.2x+0.002x2The monthly revenue R achieved by selling x wristwatches is figured to be R(x)=75x−0.2x2. The monthly cost C of selling x wristwatches is C(x)=28x+1600. (a) How many wristwatches must the firm sell to maximize revenue? What is the maximum revenue? (b) Profit is given as P(x)=R(x)−C(x). What is the profit function? (c) How many wristwatches must the firm sell to maximize profit? What is the maximum profit? (d) Provide a reasonable explanation as to why the answers found in parts (a) and (c) differ. Explain why a quadratic function is a reasonable model for revenue.. A manufacturer estimates that the cost (C) of production of x units of a certain item is C = 40x − 0.02x²− 600. How many units should be produced for a minimum cost?