EcoWave manufactures environmentally friendly packaging made from biodegradable plastics and recycled paper. Jose Gonzalez was recently hired as a the Operations Manager at EcoWave. His goal is to identify the optimum resource allocation to minimize the cost of manufacturing at least the forecasted demand of 104844 units of the O-Crates.

EcoWave has three machines that could manufacture the O-Crates. Each machine can produce a different number of units per minute -detailed in Table 1- and operating each one of them has a cost in $ per minute -detailed in Table 2.

Table 1: Manufactured units per minute per machine

Machine	Units per minute
Machine 1	115
Machine 2	95
Machine 3	140

Table 2: Cost per minute of operation

Machine	Cost in $ per Minute
Machine 1	100
Machine 2	50
Machine 3	90

Jose Gonzalez's first task is to an optimization model using the available information. What's the minimum possible cost to produce the required units?

After presenting the initial results to his manager Ms. Scott, Jose noticed his model was missing the manufacturing capacity constraints. Additionally, aiming to increase efficiency, Ms. Scott requests including a new constraint about the maximum power consumption in kW for the O-Crates in total should not exceed 60000 kW.

Table 3: Machine's capacity in minutes

Machine	Capacity in Minutes
Machine 1	300
Machine 2	500
Machine 3	450

Table 4: Power consumption per minute

Machine	Kw per minute
Machine 1	45
Machine 2	60
Machine 3	55

What's the minimum possible cost to produce the required units including the new information in the model?

Round your answer to the nearest integer.

ose's model was implemented successfully. However, Ms. Scott noticed lower utilization of some machines and asked him to analyze the impact of establishing a minimum number of minutes operating for all of them. Based on this possible scenario, all machines should be operational for at least 100 minutes each.

What's the minimum possible cost to produce the required units in this scenario?

Round your answer to the nearest integer.