Question

A certain restaurant has two types of famous dessert. The ingredients for the chocolate cake, labeled as x, cost the store $2 per cake. The ingredients for the cheesecake, labeled as y, cost the store $5 per cheesecake. The store has a budget of $200 for ingredients for both desserts. The production of the desserts is given by D(x,y) 3xy + 2x + Sy Use the method of Lagrange multipliers to maximize the production. to find the number of each dessert that is possible TOSHIBA

Answer 1

SOIN Raus DC 5y 3xy and using The get Lganges nelhod mulkibilas Dx Dy) a+33 S+3x) S3x 3 Sd and and SA33 Thuy 39 S+3x from - 200 amd る= 30 SO amol at 501 30) 3a ro max Hence max 3a0 つC= So ot