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determine which options has most positive net value for the lab

Net valueLab=BenefitsLabCostLab\text{Net value}_{\text{Lab}} = \text{Benefits}_{\text{Lab}} - \text{Cost}_{\text{Lab}}

Simulation: gold nanoparticles

NVP(relative to purchasing)=NVPNVP=0 NVF(relative to purchasing)=NVFNVP=CPCF NVnR(relative to purchasing)=NVnRNVP=CPCnR \begin{aligned} NV_P \text{(relative to purchasing)} &= NV_P - NV_P = 0 \\\ NV_F \text{(relative to purchasing)} &= NV_F - NV_P = C_P - C_F \\\ NV_{nR} \text{(relative to purchasing)} &= NV_{nR} - NV_P = C_P - C_{nR} \\\ \end{aligned}

relative to purchasing

NV=$896week1($5100mLqingred+$12.5hrtFumeHood+$100hrtSEM+$15hrtGradStudent+Cother)NV = \$896 \, \text{week}^{-1} - \left( \frac{\$5}{100 \, \text{mL}} q_{\text{ingred}} + \frac{\$12.5}{\text{hr}} t_{\text{FumeHood}} + \frac{\$100}{\text{hr}} t_{\text{SEM}} + \frac{\$15}{\text{hr}} t_{\text{GradStudent}} + C_{\text{other}} \right)