A chemical plant produces two items, item A and item B. For each unit of item A produced, 2 cubic feet of carbon monoxide and 6 cubic feet of sulfur dioxide are emitted into the atmosphere. To produce item B, 4 cubic feet of carbon monoxide and 3 cubic feet of sulfur dioxide are emitted into the atmosphere. Government pollution standards permit the manufacturer to emit a maximum of 3000 cubic feet of carbon monoxide and 5400 cubic feet of sulfur dioxide per week. The manufacturer can sell all of the items that it produces and makes a profit of $1.50 per unit for item A and $1.00 per unit for item B. Determine the number of units of each item to be produced each week to maximize profit without exceeding government standards.
A chemical plant produces two items, item A and item B. For each unit of item A produced, 2 cubic feet of carbon monoxide and 6 cubic feet of sulfur dioxide are emitted into the atmosphere. To produce item B, 4 cubic feet of carbon monoxide and 3 cubic feet of sulfur dioxide are emitted into the atmosphere. Government pollution standards permit the manufacturer to emit a maximum of 3000 cubic feet of carbon monoxide and 5400 cubic feet of sulfur dioxide per week. The manufacturer can sell all of the items that it produces and makes a profit of $1.50 per unit for item A and $1.00 per unit for item B. Determine the number of units of each item to be produced each week to maximize profit without exceeding government standards.
Chapter5: Exponential And Logarithmic Functions
Section: Chapter Questions
Problem 22PS: In a classroom designed for 30 students, the air conditioning system can move 450 cubic feet of air...
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10. A chemical plant produces two items, item A and item B. For each unit of item A produced, 2 cubic feet of carbon monoxide and 6 cubic feet of sulfur dioxide are emitted into the atmosphere. To produce item B, 4 cubic feet of carbon monoxide and 3 cubic feet of sulfur dioxide are emitted into the atmosphere. Government pollution standards permit the manufacturer to emit a maximum of 3000 cubic feet of carbon monoxide and 5400 cubic feet of sulfur dioxide per week. The manufacturer can sell all of the items that it produces and makes a profit of $1.50 per unit for item A and $1.00 per unit for item B. Determine the number of units of each item to be produced each week to maximize profit without exceeding government standards.
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