Yaster Car Sharing offers a membership plan with a $48 per month fee that includes 11 hours of driving each month and charges $11 for each additional hour. LetF(x) be the cost for a month in which a member uses a car for xhours.

Then F(x) is the piecewise function

• F(x)= 48, for 0x 11,
• F(x)=mx+b, for x> 11 for some scalars m and b.

Find b. Round to the nearest whole number.

Car Sharing

Jesaki Car Sharing offers a membership plan with a $44 per month fee that includes 10 hours of driving each month and charges $12 for each additional hour. Let F(x) be the cost for a month in which a member uses a car for xhours.

Consider the following limits.

1. limx10+F(x)
2. limx10F(x)
3. limx10F(x)

Compute 2. Round to the nearest cent. Enter 0 if the limit does not exist.

Volume Discount

Jester Apparel sells custom promotional shirts. The table below shows the volume discount offered by the company, where x is the volume of a purchase in dollars.

Table: Volume Discount (Excluding Tax)

Volume ($x)	Discount Amount
$300 x< $1,000	2.4%
$1,000 x< $3,500	3.9%
$3,500 x< $6,000	7.9%
$6,000 x	10.5%

Assume that the volume discount applies to the entire purchase. For example, if the volume x satisfies $3,500 x< $6,000, then the entire purchase is discounted 7.9%. Let D(x) be the discounted price if x is the volume of the purchase before the discount is applied.

Consider the following limits.

1. limx3500D(x)
2. limx3500+D(x)
3. limx3500D(x)

Compute 3. Round to the nearest cent. Enter a 0 if the limit does not exist.

Average Cost

JesterBoards is a small snowboard manufacturing company with fixed costs of $204 per day and total cost of $4,434 per day for a daily output of 22 boards.

What does the average cost per board tend to as production increases? Round to the nearest cent.

$ per board

Employee Training

A company producing computer components has established that, on average, a new employee can assemble N(t) components per day after t days of on-the-job training, as given byN(t)=att+b , for t0, where a= 164 and b= 10.

Find limtN(t). Round to the nearest tenth (1 decimal place). Enter 0 if the limit does not exist.

Commission

A personal-computer salesperson receives a base salary of $946 per month and a commission of 6.2% of all sales over $10,000 during the month. If the monthly sales are $20,000 or more, then the salesperson is given an additional $514. Let E(s) represent the person's earnings per month as a function of monthly sales.

Consider the following values.

1. E(10000)
2. lims10000E(s)
3. E(20000)
4. lims20000E(s)

Compute 2. Round to the nearest cent.