profit of producing B is $400/m3. Production of 1 m3 of type A per day leads to
ID: 1714565 • Letter: P
Question
profit of producing B is $400/m3. Production of 1 m3 of type A per day leads to 3 ppm of toxic material C and 2 ppm of toxic material D in the outfall. Production of 1m3 of type B per day leads to 2 ppm of toxic material C and 3 ppm of toxic material D in the outfall. Environmental regulations require that the concentration of C in the outfall must be less than 6 ppm and concentration of D in the outfall must be also less than 6 ppm. What is the optimal volume of production of A and B to maximize the profit of the plant while maintaining the toxic material concentration below the allowed limits?Explanation / Answer
400 2. 3
200. 3. 2
Than
Plant A profit cost is 200 dollars
Plant B profit cost is 400 dollars
But resultant concentration should be less than 6 ppm so it mean it shall be 5.99 ppm but not 6 ppm
So unit production of A type fertilizer 200$ per m3
And unit production of B type fertilizer 400$ per m3
.99 of A + 1 of B = 2.97 1.98 . 2. 3
= 2.97x2 + 1.98x3 = 11.88/1.99
= 5.9698
Optimal profit amount is = 200*.99+400*1=198+400=598$
and both C and D concentrating will remain below 6 ppm
5.94 ppm for both C and D
Total/optimal volume can be produce is 1.99 m3
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