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Q: (a) f(x) = x(Kx+1); I<x<2 -%t f(x) = Kx² - ; 1<x<2 % (c) f(x) = Kx; 0<x<2 (d) f(x) = K(x² +4); 0<x…
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A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8
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- Use algebraic methods to determine the critical value(s) of f(x)= x/(x^2-x-2). Give your answers in exact form.Use algebraic methods to determine the critical value(s) of f(x) = x √4−x. Give your answers in exact form.The profit function for an operation is given byP(x, y) = 2200 + 24x − x^2 + 80y − y^2where x is the cost of a unit of labor and y the cost of one item. Find the maximum amount of profit that can be generated from this operation. It is necessryto do a prospective analysis of the profitability of this operation. Determine theapproximate increase or decrease in profit if the units of labor increases from 12to 13 while the price of an item remains the same at 40. Also, what if the laborremains steady at 12 but the price increase from 40 to 41?
- The total-revenue and total-cost funtions for producing x clocks are R(x)=500x-0.01x2 and C(x)=160x+100,000, where x is greater than equal zero and less than equal 25,000. What is the maximum annual profit?lim y approaches 0 ................... [5y3 + 8y2]/[3y4 - 16y2]The total daily profit (in thousands of pesos) of a certain food company for the sale of x boxes of buko pie is given by the profit function P(x)=-0.001x^3+0.1x^2+3x-300 , where x is greater than or equal to 0 but less than or equal to 30. Determine the number of boxes of buko pie to be produced in order for the company to realize a maximum profit.
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- A firm produces a product that has the production cost function C(x)=120x+3210 and the revenue function R(x)=150x. No more than 50 units can be sold. Find and analyze the break-even quantity, then find the profit function. The break even quantity is ___ units.The demand function for a certain product is p = 121 − x2 and the supply function is p = x2 + 2x + 81. Find the equilibrium point.f(x)=(x^2+10x+1)e^-x Find the critical points and determine whether it is a local maximum, local minimum or inflexion point