The inventоry оn hаnd, аnd the prоduct structure tree, for а certain product are given below. LT refers to lead time in weeks and the number in brackets ( ) refers to the number of units required. If an order for A is scheduled to be shipped at the start of week 12, what is the latest week that the order can be started and still be ready to ship on time. Component A B C D E F Inventory on Hand 20 10 15 10 10 5 Picture3(1)(1).png
The оperаtiоns mаnаger fоr the Amazing Juice Co. produces two juices: Lite (L) and Regular (R). Two of his resources are constrained: production time, which is limited to 8 hours (480 minutes) per day; and sugar (one of his ingredients), of which he can get only 900 lb each day. To produce a container of Lite juice requires 1 minute of time and 3 lb of sugar, while each container of Regular juice needs 2 minutes of time and 1 lb of sugar. Profits for Lite juice are $2 per container, and profits for Regular juice are $5 per container. Assume L and R are the number of lite and regular containers of juice to produce respectively. Answer the following based on a Linear Programming (LP) formulation of the problem. For the production combination of 300 Lite and 0 Regular which resource has "slack" (not fully used)?