Question $8$:

Which of the following is an example of a push system in production?

$($A$)$ An assembly line where products are built in stages

$($B$)$ A restaurant kitchen where orders are prepared as they are received

$($C$)$ A custom furniture maker building pieces based on client specifications

$($D$)$ A factory producing cars based on sales forecasts

Question $9$

Scenario:

You're the operations manager of a manufacturing plant that produces three products: A$,$ B$,$ and C$.$ Demand is increasing, leading to capacity issues.

Data:

Processing times $($minutes per unit$)$:

$\backslash$table$[[$Product$,$Machine $1,$Machine $2,$Machine $3],[$A$,10,5,15],[$B$,8,12,4],[$C$,5,5,10]]$

Machine Availability:

Machine $1$: $480$ minutes per day

Machine $2$: $480$ minutes per day

Machine $3$: $480$ minutes per day

Profit per unit:

Product A: $$20$

Product B: $$30$

Product C: $$15$

Diagram:

Machine $1->$ Machine $2->$ Machine $3$

simple production flow diagram with arrows indicating:

Questions:

Bottleneck Analysis:

Identify the bottleneck machine in the current process.

Calculate the maximum daily output $($units$)$ of each product based on the bottleneck.

Capacity Expansion:

You have a budget to increase the capacity of one machine.

Determine which machine's capacity to increase, and by how many minutes, to maximize daily profit. Justify your answer with calculations.

Product Prioritization:

Given the limited capacity, develop a production schedule that maximizes overall daily profit. Show the calculations to support your schedule.