Question: PLEASE SOLVE ALL AND SHOW FULL STEPS. THANKS 15. [6 marks] After a new product has been launched onto the market, its sales volume is

PLEASE SOLVE ALL AND SHOW FULL STEPS. THANKS

15. [6 marks] After a new product has been launched onto the market, its sales volume is given by S = (AT +450) (A +T2) 772, where T = time (in months) since the product was first introduced and A = amount (in hundreds of dollars) spent monthly on advertising. : : o : B, DT (a) Determine the partial derivative of sales volume with respect to advertising, A" (b) Suppose advertising is fixed at $9000 per month [i.e., A = 90]. Determine when the monthly sales volume will begin to decrease, given that gi = (A% 450T) (A+ Tz)_g

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