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A company's full profit per unit production is given by the function y = -5x2 +17x-12 where x is the number of items produced (in hundreds) and the y is the profit per unit (in thousands).
(i) Place the graph the company's profit per unit curve for 0 to 300 items. (ii) what the maximum profit is and at what production level it is contained. (iii) From the graph also find out the range of production level which is profitable for the organization.
prove that A=3i+j-2k ,B= -i+3j+4k, C=4i-2j-6k can form a triangle and find the length of the medians of the triangle.
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