Assembly Line Balancing You have been hired by an automotive supplier to analyze its production flows. The company needs to achieve desired daily output for a car mirror assembly line is 360 units. This assembly line will operate 450 minutes per day.
Information needed to balance the assembly line includes:
Task Task Time (in sec) Predecessor
A 30 -
B 35 A
C 30 A
D 35 B
Task Task Time (in sec) Predecessor
E 15 C
F 65 C
G 40 E, F
H 25 D, G
Create a precedence diagram
Calculate the Workstation Cycle Time
Calculate the Theoretical Minimum Number of Workstations
Assign tasks, one at a time, to the first workstation until the sum of the task times is equal to the workstation cycle time (don’t exceed WCT). Draw those workstations on your precedence diagram.
Calculate the efficiency of your assembly process

3. saving two consumers, larry and jeff, have utility functions defined over the two periods of their lives: middle age (period zero) and retirement (period 1). they have the same income in period 0 of m dollars and they will not earn income in period 1. the interest rate they face is r. larry’s and jeff’s utility functions are as follow. = 0.5 + 0.5 and = 0.5 + 0.5 for each person is between zero and one and represents each consumer’s temporal discount econ 340: intermediate microeconomics. ben van kammen: purdue university. rate. a. write the budget constraint that applies to both jeff and larry in terms of consumption in each period and ), interest rate, and m. b. what is larry’s and what is jeff’s marginal rate of intertemporal substitution? c. what is the slope of the budget constraint? d. write each consumer’s condition for lifetime utility maximization. e. re-arrange the conditions from part (d) to solve for the ratio, . f. if > which consumer will save more of his middle age income? g. if > 1 1+ , in which period will larry consume more: = 0 or = 1?