A stock investor has $150,000 to invest in two stocks. APC, Inc. sells for $39.80 per share and Unified Laboratories (UL)sells for $49.70 per share. Write an inequality that restricts an investment of x shares of APC, Inc. and y shares of UL

39.80x + 49.70y <= 150,000

To write an inequality that restricts the investment of x shares of APC, Inc. (APC) and y shares of Unified Laboratories (UL), we need to consider the total amount available for investment, which is $150,000.

Let's assume x represents the number of shares of APC and y represents the number of shares of UL.

The total cost of investing in APC would be given by the product of the price per share ($39.80) and the number of shares (x), which is 39.80x.

Similarly, the total cost of investing in UL would be given by the product of the price per share ($49.70) and the number of shares (y), which is 49.70y.

To restrict the investment to the total available amount of $150,000, we can write the following inequality:

39.80x + 49.70y ≤ 150,000

This inequality ensures that the sum of the total investment in APC and UL does not exceed $150,000.