A company manufactures two products. For $1.00 worth of product A, the company spends $0.40 on materials, $0.20 on labor, and $0.10 on overhead. For $1.00 worth of product B, the company spends $0.50 on materials, $0.20 on labor, and $0.15 on overhead. Let
a = (0.40, 0.20, 0.10) b = (0.50, 0.20, 0.15)
Then a and b represent the "costs per dollar of income" for the two products. Suppose the company manufactures x dollars worth of product A and y dollars worth of product B and that its total costs for materials are $260, its total costs for labor are $120, and its total costs for overhead are $70.
Determine x and y, the dollars worth of each product produced.

World systems manufactures an optical switch that it uses in its final product. world systems incurred the following manufacturing costs when it produced 74 comma 000 units last​ year: ​(click the icon to view the manufacturing​ costs.) another company has offered to sell world systems the switch for $ 13.50 per unit. the world systems prepared an outsourcing decision analysis to show the cost per unit of making the switches versus the cost per unit of buying​ (outsourcing) the switches. ​(click the icon to view the outsourcing decision​ analysis.) world systems needs 86 comma 000 optical switches next year​ (assume same relevant​ range). by outsourcing​ them, world systems can use its idle facilities to manufacture another product that will contribute $ 140 comma 000 to operating​ income, but none of the fixed costs will be avoidable. should world systems make or buy the​ switches? show your analysis.