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#### 479
Marcus, a technology consultant, is optimizing cloud costs for a client. The client currently spends $1,800/month on servers, with 40% allocated to underutilized resources. By right-sizing those, Marcus hopes to reduce usage by 35%. After optimization, what will the new monthly cost be, assuming only underused resources cost less and no additional scaling is needed?
Underutilized cost = 40% of $1,800 = 0.4 Ă— 1800 = <<0.4*1800=720>>720.
Reducing this by 35% = 720 Ă— 0.65 = <<720*0.65=468>>468.
Remaining optimized cost = 1800 – 720 + 468 = 1080 + 468 = <<1080+468=1548>>1548.
#### 1548
In Dr. Elena’s lab, a synthetic virus construct requires 3 parts protein A, 5 parts protein B, and 2 parts enzyme E. If she needs to produce 500 units of the construct and scaling requires exact stoichiometric ratios, how many units of protein B are required?
Total ratio parts = 3 + 5 + 2 = <<3+5+2=10>>10.
Protein B fraction = 5/10 = 0.5.
Units of protein B = 0.5 Ă— 500 = <<0.5*500=250>>250.
