A company produces two types of soap (A & B). Based on an analysis of current inventory levels and potential demand for the coming month, M&D's management specified certain constraints that must be placed on total production, processing time, and demand. M&D's objective is to satisfy these requirements at a minimum total production cost. Production costs are$2 per bar of soap for product A and $3 per bar of soap for product B. To find the minimum-cost production schedule, we arrive at the following linear program:

LetA= number of bars of soap for product A.

LetB= number of bars of soap for product B.

Minimize	2A + 3B
Subject to
	1A		125	Demand for product A (number)
	1A + 1B		350	Total production (number)
	2.5A+ 1B		600	Processing time (minute)
	A,B		0 & integer

Using integer linear programming in Excel, find the optimal number of products A and B that should be produced to minimize the production costs. What is the optimal value of the objective function?