Problem $1$: You're a new Merchandise Allocations Analyst for the Puerto Rico location of Nordstrom department store. Your research of past sales records indicates that holiday themed tops have typically composed $20$ percent of total sales for the department. This year total sales are planned at $$250,000.$ From your research you realize that most of your customers for this product are trendy and want the hottest new styles and colors.

You decide to stock holiday themed tops in several colors that are covered in sequins. These fancy holiday tops costs $$40.$

The next step in developing an assortment plan will be to calculate the specific unit breakdowns of these holiday tops based on the selection factors you have chosen$-$size and color. Nordstrom store brand has these tops in sizes from extra small to extra$-$extra large in $3$ different colors. By examining past sales records, you determine that the size distribution has been:

XSmall $5\%$

Small $5\%$

Medium $10\%$

Large $30\%$ X$-$Large $40\%$

XX $-$Large $10\%$

Basic colors are never good sellers for the island customer. Customers here are fashion forward and past records show gold and silver are the best selling colors and accounting for $30\%,$ and $35\%$ each respectively, and green also does well for $35\%$ of sales.

Based on your plan, you are ready to calculate the number of tops that you will purchase for each of the sizes and then colors selected. Remember you can only buy a whole garment, not $\mathrm{.}3$ or $\mathrm{.}5$ of a garment.