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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.
The data of the table below give details of the components, prices and standard quantities used in making a kind of chemical. Measure the composite index with 2007 as base year us
y''(x)=2*10^-6*y(x)(100000-y(x))
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The system has a solution near (-0.5,-0.7). Set up the matrix equation Jδ = -f for Newton's method and then carry out one iteration, starting with x 0 = -0.5, y 0 = -0.7.
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