ANALYSIS 1 (for completing on Pages 2 and 3) Wes and Steve offer 2 salads for their lunch trucks--the Supreme ($12 revenue = xi) and the Basic ($10 revenue = xs). Each salad requires 2 processes to create: MIXING and PACKAGING (shown in table below). Each salad requires LETTUCE as indicated below. Steve and Wes want to know how many of each salad to produce each day to maximize revenues- but they are adamant that no more than 15 Supreme salads should be produced (due to profit margins) Supreme Basic Total Available CONSTRAINT DATA Mixing Packaging Lettuce 2 min 4 min 2 oz 2nin 2 min 2 or 70 min 80 min 100 OZ ANALYSIS 2 (for completion on Page 4) Steve and Wes have used LINDO to create range reports for the data above. These reports are included on Page 4 Use this information to answer Sensitivity Analysis questions provided. ANALYSIS 1 1. What is the objective function equation/ statement for this problem assuming X - Supreme and X2 = Basic? (1 pt) 2. What are the constraint equations for this problem? (Use box at right for writing constraints; you must include all constraints and label accordingly) (2.5 pts) 3. a) Plot/label the constraints on the graph on page 3 (4 pts) b) Shade the feasible solution space (1 pt) Show work & graphing on Page 3 Be sure to write NEATLY - if I cannot read it: zero points. 4. What are the possible combinations/ revenues of the salads that could be produced? Place a star (*) next to or highlight the Optimal choice. (2.5 pts) (Use box at right for writing answers; include any supporting math on next page) 5. Which constraint(s) (if any) is/are binding? (1 pt) 6. Which constraint(s) (if any) are redundant? (1 pt) 7. How much slack or surplus do the non- binding constraints have (not including the non-negativity constraints)? You must note if it's SLACK or SURPLUS. Support with math on next page. (2 pts) M) P) L) s) SLACK OR SURPLUS 0.000000 0.000000 30.000000 10.000000 DUAL PRICES 4.000000 1.000000 0.000000 0.000000 OBJ COEFFICIENT RANGES CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE 12.000000 8.000000 2.000000 10.000000 2.000000 4.000000 X1 X2 M) P) L) s) RHS RANGES CURRENT ALLOWABLE RHS INCREASE 70.000000 10.000000 80.000000 20.000000 100.000000 INFINITY 15.000000 INFINITY ALLOWABLE DECREASE 20.000000 10.000000 30.000000 10.000000 Math: 1. If the profit for an X1 were to increase to $18, how much additional profit would the company make (if any)? (1 pt) Answer: Math: 2. If the profit for an X2 were to decrease to $7.00, how much profit would the company lose? (1 pt) Answer: 3. If the company could obtain an additional 9 Math: minutes of mixing at a cost of $1/min, what is their NEW TOTAL PROFIT? (1 pt) Answer: Math: 4. If the company could obtain an additional 8 minutes of packaging at a cost of $2.00/min, what is their ADDITIONAL PROFIT (if any)? (1 pt) Answer: Answer: Circle: YES NO 5. If the company only received 50 units of lettuce for today's production, would that impact the amount of salads produced today? Explain in 1 brief statement. (1 Explain: pt) ANALYSIS 1 (for completing on Pages 2 and 3) Wes and Steve offer 2 salads for their lunch trucks--the Supreme ($12 revenue = xi) and the Basic ($10 revenue = xs). Each salad requires 2 processes to create: MIXING and PACKAGING (shown in table below). Each salad requires LETTUCE as indicated below. Steve and Wes want to know how many of each salad to produce each day to maximize revenues- but they are adamant that no more than 15 Supreme salads should be produced (due to profit margins) Supreme Basic Total Available CONSTRAINT DATA Mixing Packaging Lettuce 2 min 4 min 2 oz 2nin 2 min 2 or 70 min 80 min 100 OZ ANALYSIS 2 (for completion on Page 4) Steve and Wes have used LINDO to create range reports for the data above. These reports are included on Page 4 Use this information to answer Sensitivity Analysis questions provided. ANALYSIS 1 1. What is the objective function equation/ statement for this problem assuming X - Supreme and X2 = Basic? (1 pt) 2. What are the constraint equations for this problem? (Use box at right for writing constraints; you must include all constraints and label accordingly) (2.5 pts) 3. a) Plot/label the constraints on the graph on page 3 (4 pts) b) Shade the feasible solution space (1 pt) Show work & graphing on Page 3 Be sure to write NEATLY - if I cannot read it: zero points. 4. What are the possible combinations/ revenues of the salads that could be produced? Place a star (*) next to or highlight the Optimal choice. (2.5 pts) (Use box at right for writing answers; include any supporting math on next page) 5. Which constraint(s) (if any) is/are binding? (1 pt) 6. Which constraint(s) (if any) are redundant? (1 pt) 7. How much slack or surplus do the non- binding constraints have (not including the non-negativity constraints)? You must note if it's SLACK or SURPLUS. Support with math on next page. (2 pts) M) P) L) s) SLACK OR SURPLUS 0.000000 0.000000 30.000000 10.000000 DUAL PRICES 4.000000 1.000000 0.000000 0.000000 OBJ COEFFICIENT RANGES CURRENT ALLOWABLE ALLOWABLE COEF INCREASE DECREASE 12.000000 8.000000 2.000000 10.000000 2.000000 4.000000 X1 X2 M) P) L) s) RHS RANGES CURRENT ALLOWABLE RHS INCREASE 70.000000 10.000000 80.000000 20.000000 100.000000 INFINITY 15.000000 INFINITY ALLOWABLE DECREASE 20.000000 10.000000 30.000000 10.000000 Math: 1. If the profit for an X1 were to increase to $18, how much additional profit would the company make (if any)? (1 pt) Answer: Math: 2. If the profit for an X2 were to decrease to $7.00, how much profit would the company lose? (1 pt) Answer: 3. If the company could obtain an additional 9 Math: minutes of mixing at a cost of $1/min, what is their NEW TOTAL PROFIT? (1 pt) Answer: Math: 4. If the company could obtain an additional 8 minutes of packaging at a cost of $2.00/min, what is their ADDITIONAL PROFIT (if any)? (1 pt) Answer: Answer: Circle: YES NO 5. If the company only received 50 units of lettuce for today's production, would that impact the amount of salads produced today? Explain in 1 brief statement. (1 Explain: pt)