The total cost of C of producing n articles per hour in a factory is given by the formula C = a + bn where a and b are constants When 10 articles are produced the total cost is 320 when two are produced the cost is 520 form two euqations in a and b and solve them to find the values of a and b
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Answers & Comments
For this type of problem, a equals the constant cost of operation (monthly rent..etc) and b equals the cost to manufacture the items.
first equation: 320 = a + b(10)
second equation: 520 = a +b(20)
320 = a + 10b
520 = a + 20b subtract equation 2 from equation 1
-200 = -10b divide by -10
20 = b plug b into one of the equations
320 = a +(20)(10) multiply
320 = a +200 subtract 200
120 = a
Let me know if i need to explain further.