Answer to Question #302966 in Math for Zahirah

Question #302966

A seller sells 2 types of sugar packets, white sugar and brown sugar. The seller can sell up to a

maximum of 1000 units of sugar packets with the condition that she must sell at least 200 units

of white sugar packets and 360 units of brown sugar packets. The seller gets RM0.40 for every

unit of white sugar packet sold and RM0.8 for every unit of brown sugar packet sold. Given

the seller sold x units of white sugar packet and y units of brown sugar packet and the profit

obtain is at least RM400.

(a)

Find the objective function and formulate the system of inequalities satisfying the given

constraints.

(b)

Sketch the graph and shade the feasible region, R satisfying the system of inequalities

in part (a).

(c)

Determine the number of white sugar packet and brown sugar packet that the seller

should sold to maximize the profit obtained. Hence, determine the maximum profit