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Sales Forecast Modeling. The change in the quantity of Beta service demanded in any given week is inversely proportional to the change in sales by Alpha in the previous week. That is, if sales of Alpha rose by X percent last week, sales of Beta can be expected to fall by 0.5X percent this week.
A. Write the equation for next week's sales of Beta, using the symbols B = sales of Beta services, A = Alpha sales, and t = time. Assume there will be no shortages of either product.
B. Last week 200 units of Beta and 450 units of Alpha were sold. Two weeks ago, 300 units of Alpha were sold. What would you predict the sales of Beta to be this week?
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