Hello, soly_sol!

You've switched some of your variables . . .

I suggest organizing the information . . .A company produces two items: part A and part B.

Part A requires 1 hour of casting time and 10 hours of firing time.

Part B requires 4 hours of casting time and 3 hours of firing time.

The maximum number of hours per week available for casting and firing are 100 and 70, resp.

The cost to the company is $0.75 per part A and $3.00 per part B.

Total weekly costs cannot exceed $45.00.

Let x = the number of part A produced in a week

and y= the number of part B produced in a week.

Write a system of three inequalities that describes these constraints.

. . Then readdownthe columns

The system is: .