A chair company produces two models of chairs, the Sequoia and the Saratoga. The Sequoia model takes 3 hours to assemble and 
hour to paint. The Saratoga model takes 2 hours to assemble and 1 hour to paint.The maximum number of hours available to assemble is 24 per day and the maximum number of hours available to paint is 8 per day.
(a)If the company earns a profit of $20 per Sequoia model and $30 per Saratoga model, find the number of models produced per day in order to maximize profit.
(b)If the company earns a profit of $30 per Sequoia model and $15 per Saratoga model, find the number of models produced per day in order to maximize profit.
(c)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $45 per Sequoia model and $35 per Saratoga model, find the number of models produced per day in order to maximize profit.
(d)Suppose the company decides to upgrade the two models so it takes an additional 2 hours to detail the Sequoia and 2 hours to detail the Saratoga. The maximum number of hours available to detail is 18 per day. If the company earns a profit of $30 per Sequoia model and $40 per Saratoga model, find the number of models produced per day in order to maximize profit.
| (a) | 4 Sequoia models and 6 Saratoga models |
| (b) | 8 Sequoia models and 0 Saratoga models |
| (c) | 6 Sequoia models and 3 Saratoga models |
| (d) | 2 Sequoia models and 7 Saratoga models |
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