The Mr$.$ Meadows Cookie Company can obtain accurate forecasts for $12$ months based on firm orders. These forecasts and the number of workdays per month are as follows: Month Demand Forecast $($in thousands of cookies$)$ Workdays $18502621,2602435102049801857702268502371,0501481,5502191,35023101,0002411970211268013$ During a $46-$day period when there were $120$ workers, the firm produced $1,700,000$ cookies. Assume that there are $100$ workers employed at the beginning of month $1$ and zero starting inventory. a$.$ Find the minimum constant workforce needed to meet monthly demand. b$.$ Assume c$\_($I$)=$$$0\mathrm{.}10$ per cookie per