Subjects algebra

Highest Revenue

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1. **State the problem:** We want to find which monitor model (A, B, C, D, or E) brings the highest revenue given the manufacturing time, percentage sold, and cost per monitor. 2. **Calculate total manufacturing time per week:** Manufacturing runs 9 hours/day for 7 days, so total minutes per week = $9 \times 60 \times 7 = 3780$ minutes. 3. **Calculate number of units produced per model per week:** Units produced = $\frac{3780}{\text{time per unit}}$. - Model A: $\frac{3780}{15} = 252$ units - Model B: $\frac{3780}{18} = 210$ units - Model C: $\frac{3780}{13} \approx 290.77$ units - Model D: $\frac{3780}{20} = 189$ units - Model E: $\frac{3780}{17} \approx 222.35$ units 4. **Calculate units sold per model per week:** Units sold = units produced $\times$ percentage sold - Model A: $252 \times 0.75 = 189$ units - Model B: $210 \times 0.73 = 153.3$ units - Model C: $290.77 \times 0.84 \approx 244.25$ units - Model D: $189 \times 0.95 = 179.55$ units - Model E: $222.35 \times 0.81 \approx 180$ units 5. **Calculate revenue per model per week:** Revenue = units sold $\times$ cost per monitor - Model A: $189 \times 175 = 33075$ - Model B: $153.3 \times 188 \approx 28820.4$ - Model C: $244.25 \times 145 \approx 35456.25$ - Model D: $179.55 \times 198 \approx 35560.9$ - Model E: $180 \times 170 = 30600$ 6. **Compare revenues:** Model D has the highest revenue $\approx 35560.9$. **Final answer:** Model D brings in the highest revenue.