1. Without using computer simulation - sketch the response of a first-order material delay with an average delay time of 5 days to the inputs shown in Figure 11-9. In all cases assume that prior to time zero the delay is in equilibrium with the outflow and inflow both equal to 100 unit/day. a) Step input. At time zero the inflow steps up to 200 unit/day and remains at the higher rate. b) Ramp input. At time zero the inflow starts to rise linearly at a rate of 5 unit/day. Assume a 5-day average delay time and sketch the response of a first-order material delay to each of these inputs. Step Linear Ramp 250 200 200 Inflow and Outflow (units/day) Inflow and Outflow (units/day) 150 Inflow Inflow 100 100 50 .5 Days 10 15 20 0 5 Days 10 15 20 25 Figure 11-9 Challenge - Test Inputs to a Delay 2. After you have sketched your intuitive estimate of the response of the delay to these inputs, test your understanding by building a model of a first-order delay and simulating its response to these inputs. Were you correct? 1. Without using computer simulation - sketch the response of a first-order material delay with an average delay time of 5 days to the inputs shown in Figure 11-9. In all cases assume that prior to time zero the delay is in equilibrium with the outflow and inflow both equal to 100 unit/day. a) Step input. At time zero the inflow steps up to 200 unit/day and remains at the higher rate. b) Ramp input. At time zero the inflow starts to rise linearly at a rate of 5 unit/day. Assume a 5-day average delay time and sketch the response of a first-order material delay to each of these inputs. Step Linear Ramp 250 200 200 Inflow and Outflow (units/day) Inflow and Outflow (units/day) 150 Inflow Inflow 100 100 50 .5 Days 10 15 20 0 5 Days 10 15 20 25 Figure 11-9 Challenge - Test Inputs to a Delay 2. After you have sketched your intuitive estimate of the response of the delay to these inputs, test your understanding by building a model of a first-order delay and simulating its response to these inputs. Were you correct