(a) (b) W₁ = x14x2 + 8x3 W₂ = x1 +4x2+2x3 W3 = -3x1 + 2x25x3 W₁ = 2x1 + 7x2 - 4x3 W₂ = 4x13x2 + 2x3
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- Find a real-valued general solution for y''-6y'+9y = 0A chemical manufacturer sells sulfuric acid in bulk at a price of $100 per unit.If the daily total production cost in dollars for x units isC(x) = 100, 000 + 50x + 0.0025x2and if the daily production capacity is at most 7000 units.(a) How many units of sulfuric acid must be manufactured and sold daily tomaximize the profit? (b) Would it benefit the manufacturer to expand the daily production capacity?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?
- Find the general solution of y'' - 2y' - 8y = 24(x2+1)e4x by using VARIATION OF PARAMETERSCreate a tabular box for the problem f(x)=(3x+1)^7(x+8)^2(x-10) just like the one shown in the example.A firm produces two kinds of tennis balls, one for recreational players which sells for $2.50 per can, and one for serious players which sells for $4.00 per can. The total revenue from the sale of x thousand cans of the first ball and y thousand cans of the second ball is given by R(x,y) = 2.5x+4y. The company determines that the total cost, in thousands of dollars, of producing x thousand cans of the first ball and y thousand cans of the second ball is given by C(x,y)=x^2-2xy+2y^2. Find the number of each type of ball which must be produced and sold in order to maximize the profit. a. 5000 of the $2.50 cans and 3000 of the $4 cans b. 4000 of the $2.50 cans and 3000 of the $4 cans c. 2000 of the $2.50 cans and 5000 of the $4 cans d.3000 of the $2.50 cans and 4000 of the $4 cans
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