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A tyre company is able to manufacture `x` (hundred) grade `A` tyres and y (hundred) grade `B` tyres per day, where `y(5-x) = 10(4 - X), 0 le x le 4.` If the profit oneach grade A tyre is twice the profit on grade B tyre,what is the most profitable number of grade A tyresper day to manufacture?

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A tyre company is able to manufacture x (hundred) grade A tyres and y (hundred) grade B tyres per day,where y(5-x)=10(4-X),0<=x<=4. If the profit oneach grade A tyre is twice the profit on grade B tyre,what is the most profitable number of grade A tyresper day to manufacture?

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Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: What is the maximum profit which can manufacturer earn?

The profit function P(x) of a firm, selling x items per day is given by P(x)= (150-x)x-1625 . Find the number of items the firm should manufacture to get maximum profit. Find the maximum profit

Maximum profit: A barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: When no barrels are produce what is a profit loss?

Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: What is the profit/loss if 175 barrels are produced

Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: What is the profit/loss if 400 barrels are produced

Maximum profit: An barrels manufacturer can produce up to 300 barrels per day. The profit made from the sale of these barrels can be modelled by the function P(x) = -10x^(2) +3500x -66000 where P(x) is the profit in rupees and x is the number of barrels made and sold. Based on this model answer the following questions: What is the break even point ? (Zero profit point is called break even)

A DAS GUPTA-Maxima and Minima-EXERCISE
  1. A tyre company is able to manufacture x (hundred) grade A tyres and y ...

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  2. Find the maxima and minimum value of the function y = 40/(3x^(4)+ 8x^(...

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  3. f (x) =2x -tan ^(-1) x - ln (x+ sqrt(1+ x ^(2)))

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  4. Show that f(x) = sqrt(e^(x^(2))-1) has its extremum at x = 0. Also me...

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  5. Using examples, prove that the conditiondy/dx = 0 is neither a necessa...

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  6. Let f(x) = x ^3 - 12x. Prove that the equation x^3 - 12x - k = 0 has a...

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  7. If y=a log x +bx^(2)+x has its exteme values at x=-1 and x=2, then fin...

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  8. If y=(a x-b)/((x-1)(x-4)) has a turning point P(2,-1), find the value ...

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  9. Find the shortest distance of the point (0, c) from the parabola y=x^...

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  10. Find the coordinates of a point on the parabola y=x^2+7x+2 which is cl...

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  11. Given an interior point A on the axis of the parabola y ^2 = 2px, (p >...

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  12. Find the coordinates of the point on the curve y=x/(1+x^2) where the t...

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  13. The parametric equations of the curve are x=2t(t^2+3)-3t^2, y=2t(t^2+3...

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  14. A function is defined parametrically as follows :x=t^5-5t^3-20 t+7y=4t...

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  15. Let (h , k) be a fixed point, where h >0,k > 0. A straight line passin...

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  16. A 12-cm-long wire is bent to form a triangle with one of the angles as...

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  17. The largest area of a rectangle which has one side on the x-axis and t...

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  18. Three sides of a trapezium are each equal to k cm. Find the greatest p...

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  19. A statue 4 meters high sits on a column 5.6 meters high . How far f...

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  20. A wire of length l is cut into two parts. One part is bent into a circ...

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  21. A point P is given on the circumference of a circle of radius rdot Cho...

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