contemporary math?

Question: a cloths manufacturer can make up to 100 items of clothing a day. he has 360 square yards of wool material and 160 square yards of cotton. the coat requires 4 square yards of wool and 4 square yards of cotton. a dress requires 3 square yards of wool and 1 square yard of cotton. how many dresses and coats should be made daily to maiximize the profit? What is the maximum profit? name the constraints. name the corners.

Answer: he can make only 40 coats with the material he has and the limiting factor is the corron.he can make only 120 dresses as the limiting material is wool. let the no of coats made be x and the no of dresses made be y the first equation will be x+y=100........................(1) suppose he makes 20 coats wool=80 and cotton=80 for 80 dresses wool=240 and cotton=80 so if he makes 20 coats and 80 dresses he will do justice to his capacity of 100 dresses and using up the cotton completely since nothing has been mentioned about the cost angle this seems to be quite an acceptable solution

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