A company’s yearly total production cost C is typically given by C = C(n) = F + cn, where F is fixed cost and cn, the variable cost, is cost per item, c, times the number of items produced, n. If, in 2010, 1000 items were produced at a total cost of $3500 and, in 2015, 1500 items were produced at a total cost of $5000, determine the linear function C of n. What are the numerical values of F and c?

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