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EC14C_Problem_Set_1_-_updated

# EC14C_Problem_Set_1_-_updated - EC 14C Problem Paper#1...

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1 EC 14C Problem Paper #1 Functions In Exercises 1-4, evaluate the function at the specified value and simplify the results. 1. x x x f ) ( (a) f (2) (b) f (-2) (c) 2 x f (d) f ( x 1) 2. 0 , 2 2 0 , 1 2 ) ( x x x x x f (a) f (-1) (b) f (0) (c) f (1) (d) f (2) 3. The profit function for selling n items is given by 500 , 61 500 ) ( 2 n n n P . Compute the profit from selling 230 and 260 items. 4. Suppose a factory determines that the fixed overhead for producing a quantity of a certain item is \$500 and the variable cost for each item is \$25. Express the total expenses as a function of the number of items produced and compute the expenses for producing 12, 50 and 75 items. In Exercises 5-7, find the indicated quotient and simplify your answer. 5. 1 ) ( 2 x x x f ; h f h f ) 2 ( ) 2 ( 6. h x f h x f x x f ) ( ) ( ; 1 ) ( 2 7. x x f x x f x x f ) ( ) ( ; ) ( 3 8. A company produces a product for which the variable cost is \$12.30 per unit and the fixed costs are \$98,000. The product sells for \$17.98. Let x

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