The company produces two products. For $1.00 worth of product a, company spends $0.45 on materials, $0.20 on labor, $0.10 on overhead. For $1.00 value of product b, the company spends $0.40 on materials, $0.20 on labor, and $0.15 on overhead. Consider
a=0.45 And b=0.40
0.20 0.20
0.10 0.15
Then a and b represent "cost per dollar of income" for two products. Assume company manufactures x1 dollars worth of product a and x2 dollars worth of product b and that it's total price for materials are $165, it's total price for labor are $80, and it's total price overhead are $55. Find x1 and x2, dollars worth of every product produced. Include the vector equation as part of the solution.