(a) Let S (1,x) = cos(xx), where I and x are real numbers such that r>0. (1) Solve the indefinite integral /(1,x)dx. Let A=561 B=21 (ii) Hence, use Leibniz's rule to solve xcos x dx. C=29 (b) A potato processing company has budgeted RM A thousand per month for labour, materials, and equipment. If RM x thousand is spent on labour, RM y thousand is spent on raw potatoes, and RM - thousand is spent on equipment, then the monthly production level (in units) can be modelled by the function Bc P(x, y, )=ryt z= - How should the budgeted money be allocated to maximize the monthly production level? Justify your answer mathematically and give your answers correct to 2 decimal places. (Sustainable Development Goal 12: Responsible Consumption and Production) (a) Let S (1,x) = cos(xx), where I and x are real numbers such that r>0. (1) Solve the indefinite integral /(1,x)dx. Let A=561 B=21 (ii) Hence, use Leibniz's rule to solve xcos x dx. C=29 (b) A potato processing company has budgeted RM A thousand per month for labour, materials, and equipment. If RM x thousand is spent on labour, RM y thousand is spent on raw potatoes, and RM - thousand is spent on equipment, then the monthly production level (in units) can be modelled by the function Bc P(x, y, )=ryt z= - How should the budgeted money be allocated to maximize the monthly production level? Justify your answer mathematically and give your answers correct to 2 decimal places. (Sustainable Development Goal 12: Responsible Consumption and Production)