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Q: 1). An insurance company claims that for x thousand policies, its monthly revenue in dollars is given by R(x)=150x and its monthly cost in dollars is given by c(x)=120x+7200. a. find the break even point. b.Graph the revenue and cost equations on the same axes c. Estimate the revenue and cost when x=120. Q.2) The national demand and price for a certain type of energy-efficient exhaust fan are related by p=480-4/5q, where p is the price(in dollars) and q is the demand (in thousands). The price and supply of the exhaust fans are related by p=2/5q, where p is the price and q is the supply of exhaust fans. Find the price for a demand of 135,000 exhaust fans. The price is $ a.Find the price for demand of $135,000 exhaust Fans. b.Find the demand of exhaust fans at a price of $96. c.Find the supply when the price is $224. d.Graph P=480-4/5q and P=2/5q on same set of axes "make sure you number the graph" e.Find the equilibrium quantity. f.Find the equilibrium price.
Use the definition of the derivative to find the derivative of the following function.
Plot the component curves and the orbit, the latter for the rectangle |y|Any surprises? 28. Hearts and Eyes: Find a solution formula for y'' + 25y = sin&(wt), where w is not equal 5. Plot the solution curve of the IVP with y(0) = y'(0), where w=4...
What values of x can be used in a function? If you wanted to graph a function, what values of x would you choose and why?
Suppose the objective function is changed to max 5A + 2B. Find the optimal soultion and the value of the objective function.
Juan's first-grade class received 73 half-pint cartons of milk to distribute evenly to his 28 students. How many cartons were left over?
What's the difference between scalar multiplication and matrix multiplication? What would be an example of the two? Indicate whether the matrix is in row-reduced form.
The ordering and transportation cost C for the components used in manufacturing a product is C=200(500/x^2 + X/x+300), x > or equal to 1 where C is measured in thousands of dollars and x is the order size in hundreds. Find the rate of change of C ..
At Shaw's Market apples cost $10 per case and bananas cost $6 per case. If an order comes in for a total of 300 cases for $2,000, what was the specific number of cases of apples? (Hint, Let A = cases of apples)
Find the principal amount
Amy plans to paint both sides of a fence whose base is in the xy-plane and is given by the points (x,y) where x = 30cos^3(t) and y = 30sin^3(t) for 0
Find the distance from the origin to the line passing through the point P(3,1,5) and having the direction vector v=2i-j+k.
the length of a rectangle floor is 5 feet less than twice its width. the are of the floor is 150 swaure feet. what is the length of the room?
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