Question 1179365
Let's solve this problem step-by-step:

**(a) Define the Cost Equation:**

* Let 'x' represent the number of units of product A produced.
* Let 'y' represent the number of units of product B produced.
* The cost of producing 'x' units of product A is 6x.
* The cost of producing 'y' units of product B is 4y.
* The total cost is the sum of these costs, which must equal $500.

Therefore, the cost equation is:

**6x + 4y = 500**

**(b) Calculate the Number of Units of Product B:**

* We are given that x = 50.
* Substitute x = 50 into the cost equation:
    * 6(50) + 4y = 500
    * 300 + 4y = 500

* Solve for y:
    * 4y = 500 - 300
    * 4y = 200
    * y = 200 / 4
    * y = 50

**Answer:**

(a) The cost equation is 6x + 4y = 500.
(b) The company should produce 50 units of product B.