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Timely Transport provides local delivery service for a number of downtown and suburban businesses. Delivery charges are based on distance and weight involved for each delivery: 21 cents per pound and 16 cents per mile. Also, there is a $26 handling fee per parcel.
a. Develop an expression that summarizes delivery charges. (Round your answers to 2 decimal places. Omit the "$" sign in your response.)
y = $
x1 + $
x2 + $
b. Determine the delivery charge for transporting a 50-pound parcel 30 miles. (Do not round your intermediate calculation. Round your answer to 2 decimal places. Omit the "$" sign in your response.)
y = $

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Following are the solution to the given points:

For point a:

Allow 'Y' dollars for delivery fees.

[tex]\to Y= (0.30)X_1+ (0.10)X_2 + 20[/tex]

when [tex]X_1[/tex] is the parcel's weight in pounds and [tex]X_2[/tex] is the delivery distance in miles.  

For point b:

when driving 30 kilometers with a 50-pound package:

[tex]\to X_1= 50\\\\\to X_2= 30[/tex]

Calculating the shipping fees:

[tex]\to Y= (0.30)X_1+ (0.10)X_2 + 20 \\\\\to Y= (0.30)50+ (0.10)30 + 20 \\\\[/tex]

        [tex]= (0.30)50+ (0.10)30 + 20 \\\\= 15+ 3 + 20 \\\\=\$38[/tex]

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