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Help me write down the constraint conditions and objective function z= of a math problem. Thank you! ! This is a simple linear programming of compulsory 5 mathematics.
Air conditioner A, color TV B and refrigerator C are produced every week.

a+b+c= 120

1/2 * a+1/3 * b+1/4 * c = 40 to 6a+4b+3c=280.

c & gt=20

z=4a+3b+2c

Solve the first and second equations into a and b.

a=220-3/2 *c

b=c/2 - 100

z=4a+3b+2c= 140-5/2 *c

When c is 20, z (max) = 90000 yuan.