1. For the cost function (given in dollars), find the average cost of 1,422 units. {image}
$69,978
$1,170
$2,516,940
$1,770 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

2. A cost function is: {image} Find the marginal cost function.
Marginal Cost = {image} 1. 2. 3. 4. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

3. The cost, in dollars, of producing x yards of a certain fabric is {image} and the company finds that if it sells x yards, it can charge {image} dollars per yard for the fabric. Use calculus to find the production level for maximum profit. Select the correct answer (rounded to the nearest whole number).
x = 2,004
x = 1,995
x = 1,999
x = 2,013 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

4. p(x) =-0.0003x +15.3 p(x) =-0.0003x-15.3 p(x) =-0.0003x+6.6
A baseball team plays in a stadium that holds 55,000 spectators. With ticket prices at $6.60 the average attendance had been 29,000. When ticket prices were lowered to $6 the average attendance rose to 31,000. Find the demand function, assuming that it is linear.
p(x) = x +15.3
p(x) = x-15.3
p(x) = x+6.6 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

5. A manufacturer has been selling 1,000 television sets a week at $430 each. A market survey indicates that for each $54 rebate offered to the buyer, the number of sets sold will increase by 60 per week. Find the demand function.
p(x) = -0.9 x + 900
p(x) = -0.9 x
p(x) = 0.9 x + 1,330
p(x) = -0.9 x + 1,330 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50