Mathematics

Mathematics

Problem

A tile manufacturer models the cost (in rupees) of producing one tile of thickness xx cm by the polynomial C(x)=4x2−3x+10C(x)=4x^{2}-3x+10. For a special order, the thickness of every tile is increased by a factor of xx, and the factory plans to produce 5x35x^{3} such tiles daily. Answer the following. a. (i) Write an expression for the cost of producing one thicker tile. b. (ii) Obtain an expression for the total daily cost of producing 5x35x^{3} thicker tiles. c. (iii) Find the total daily cost when x=2x=2.

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