Recall the production planning problem discussed in class. Instead of changing workforce levels to match changing production, consider a firm whose personnel policy guarantees no layoffs. Instead, workers not needed can be temporarily idles (e.g., sent home one day per week) with pay. Any worker who works less than 80% of full-time is paid 80% salary. If a worker puts in more hours than 80% of full-time, but less than 100% of full-time, he or she is paid the percentage of salary equal to the percentage of full-time worked (e.g., 95% of full-time earns 95% of salary). If production requirements call for more than 100% full-time, rather than hire new workers (as was done previously), the firm can pay time and a half for overtime, for up to 20% additional hours. Assuming the same seasonal demand, formulate this firm's production planning problem.