Soup Sales Canned soups are consumed more during colder months and less during warmer months. A soup company estimates its sales of 16-oz cans of condensed soup to be at a maximum of 215 million during the 5th week of the year and at a minimum of 100 million during the 31st week of the year.
a. Calculate the period and horizontal shift of the soup sales cycle. Use these values to calculate the parameters b and c for a model of the form f (x) = a sin (bx + c) + d.
b. Calculate the amplitude and average value of the soup sales cycle.
c. Use the constants from parts a and b to construct a sine model for weekly soup sales.
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