Annika, Muthu and Jade are each organizing their own parly, which will be catered by the...
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Annika, Muthu and Jade are each organizing their own parly, which will be catered by the restaurant Il Pranzo. (a) Annika, Muthu and Jade had trouble finding the restaurant's rates online, so they each had to call the restaurant to get a quote. -Annika needs to feed 100 people at his party, and was told that this will cost $1,800. Muthu needs to feed 75 people at his party, and was told that this will cost $1,300. Jade needs to feed 90 people at his party, and was told that this will cost $1,500. Let C(p) be the amount (in dollars) that the restaurant charges to cater a party with p people. Find the average rate of change of the function C(p) on the interval [75; 90] and on the interval [90; 100]. (b) Based on your answer in the previous part, explain why C(p) is not linear. (c) Annika, Muthu and Jade later meet with Cat, a mutual friend familiar with the restaurant. They told Cat about the quotes they got from Il Pranzo for the parties. Cat explains that there must have been a mistake in the price that one of them was quoted, since the amount Il Pranzo charges is a linear function of the number of guests at each party. - Let A(p) be the amount Il Pranzo should charge to cater a party with p people, if we assume that Annika's quote was incorrect and the other two quotes were correct. Find a formula for A(p) in terms of p using only the quotes given to Muthu and Jade. Annika, Muthu and Jade are each organizing their own parly, which will be catered by the restaurant Il Pranzo. (a) Annika, Muthu and Jade had trouble finding the restaurant's rates online, so they each had to call the restaurant to get a quote. -Annika needs to feed 100 people at his party, and was told that this will cost $1,800. Muthu needs to feed 75 people at his party, and was told that this will cost $1,300. Jade needs to feed 90 people at his party, and was told that this will cost $1,500. Let C(p) be the amount (in dollars) that the restaurant charges to cater a party with p people. Find the average rate of change of the function C(p) on the interval [75; 90] and on the interval [90; 100]. (b) Based on your answer in the previous part, explain why C(p) is not linear. (c) Annika, Muthu and Jade later meet with Cat, a mutual friend familiar with the restaurant. They told Cat about the quotes they got from Il Pranzo for the parties. Cat explains that there must have been a mistake in the price that one of them was quoted, since the amount Il Pranzo charges is a linear function of the number of guests at each party. - Let A(p) be the amount Il Pranzo should charge to cater a party with p people, if we assume that Annika's quote was incorrect and the other two quotes were correct. Find a formula for A(p) in terms of p using only the quotes given to Muthu and Jade.
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a The average rate of change of a function on an interval is given by the formula rate of change cha... View the full answer
Related Book For
Cost management a strategic approach
ISBN: 978-0073526942
5th edition
Authors: Edward J. Blocher, David E. Stout, Gary Cokins
Posted Date:
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