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 read down the columns
The system is: .