The monthly sales volume in thousands of dollars for a manuf

The monthly sales volume (in thousands of dollars) for a manufacturer of snow skis is seasonal (there tend to be more skis sold during fall and winter months than during warmer months). The following table shows the monthly seasonal indexes for the company\'s sales:

Express your answer in thousands of dollars.

Solution

Monthly sales have been predicted to be:

T_t = 543+4t

Where t is the number of months after December 2000 (t=1 corresponds to December 2000)

Therefore, t=59 represents october 2005.

Therefore, total sale of the compnay in october 2005:

T₅₉ = 543+4*59 = 543+236 = 779

Therefore, total sales in October 2005 will 779 thousand dollars or $779000