question

a company produces two types of goods, a and b, that require gold and silver. each unit of type a requires of silver and of gold while that of type b requires  of silver and  of gold. the company can use at the most  of silver and  of gold. if each unit of type a brings a profit of  and that of type b  , find the number of units of each type that the company should produce to maximize profit. formulate the above lpp and solve it graphically and also find the maximum profit. 

 

 

 

 

 

 

 

 

 

lets x and y number of units of type a and b goods are produced to maximize : subject to constraints : 

corner points value of z(in rs)
o(0,0) 0
a(3,0) 120
b(2,3) 230 maximum
c(0,4) 200
so maximum profit of 230 rs is obtained when 2 & 3 units of type a and type b goods are made, resp.