Drink Mix Sales Powdered drink mixes are consumed more during warmer months and less during colder months. A manufacturer of powdered drink mixes estimates the sales of its drink mixes will peak near 800 million reconstituted pints during the 28th week of the year and will be at a minimum near 350 million reconstituted pints during the 2nd week of the year.
a. Calculate the period and horizontal shift of the drink mix 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 drink mix sales cycle.
c. Use the constants from parts a and b to construct a sine model for drink mix sales.
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