this word problem using Linear Programming

A chemical plant produces two compounds A and B. For each compound A produced, 2 cubic feet of carbon monoxide and 6 cubic feet of sulfur dioxide are emitted into the atmosphere; to produce compound 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 compounds that it produces and makes a profit of $1.50 per unit for compound A and $1.00 per unit for compound B. Determine the number of units of each compound to be produced each week to maximize profit without exceeding government standards. What is the maximum profit