Questions Write the GAMS code of the mathematical model given below. Answer the following questions. 1. What are the optimum Z value and decision variable values? (For Z, X1, X2, X3, X4, 71, 72, 73, 74 specify the values separately) 2. Which one(s) of the constraint(s) is(are) binding? Which is(are) non-binding? Why? 3. What are the shadow prices for all constraints? What do they mean for this model? Specify one by one. 4. What are the reduced costs for all variables? What do they mean for the model? Specify one by one. 5.1. If the capacity of the workshop 1 (b value of the 1st constraint) was 800, would the current optimal basic solution change? Why? 6. If the demand for product 2 (b value of constraint 6) were 800, would the current optimal basic solution change? Why? 7.3. If the unit profit of the product 3 were 22, would the current optimal basic solution change? Why? 8. If the unit penalty cost of the product 4 were 7, would the current optimal basic solution change? Why? Questions Write the GAMS code of the mathematical model given below. Answer the following questions. 1. What are the optimum Z value and decision variable values? (For Z, X1, X2, X3, X4, 71, 72, 73, 74 specify the values separately) 2. Which one(s) of the constraint(s) is(are) binding? Which is(are) non-binding? Why? 3. What are the shadow prices for all constraints? What do they mean for this model? Specify one by one. 4. What are the reduced costs for all variables? What do they mean for the model? Specify one by one. 5.1. If the capacity of the workshop 1 (b value of the 1st constraint) was 800, would the current optimal basic solution change? Why? 6. If the demand for product 2 (b value of constraint 6) were 800, would the current optimal basic solution change? Why? 7.3. If the unit profit of the product 3 were 22, would the current optimal basic solution change? Why? 8. If the unit penalty cost of the product 4 were 7, would the current optimal basic solution change? Why