a) It is known that cost function of the company is linear function. Further fixed cost of company is $20,000 and total cost of producing 10 items is $25,000. Determine cost function of company.
b) The cable TV company charges $23 for basic service plus $6 for each movie channel. Consider C(x) be total cost in dollars of subscribing to cable TV, using x movie channels. Determine linear cost function.
c) The cab company charges the base rate of $2.00 plus 20 cents per minute. Consider C(x) be cost in dollars of using cab for x minutes. Determine linear cost function.
d) The new car was bought for $14,500, and 3 years later it was worth $9100. Suppose that depreciation in value is given by linear equation. Determine equation, if y is value of car after x years.
e) Suppose that sales of the certain appliance dealer are estimated by the linear function. Assume that sales were $50,000 in 2008 and $80,000 in 2013. Consider x = 0 represent year 2008. Determine equation giving yearly sales S(x).