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REY [17]
3 years ago
10

3. The math department needs to buy new textbooks and laptops for their

Mathematics
1 answer:
Alenkasestr [34]3 years ago
3 0

Let they be x.

Cost of textbooks + laptops cant greater than total amount.

(cost of 1 textbooks * number of textbooks) + (cost of 1 laptop * number of laptops ≤ 6500

(30*116) + (x*439) ≤ 6500

3480 + 439x ≤ 6500

439x ≤ 3020

x ≤ 6.8(approx)

Last natural number is 6, says, they can buy 6 laptops at max.

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An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,
Fynjy0 [20]

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C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000

\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000

\text{Overall cost of machine A}=\$118,000

\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000

\text{Overall cost of machine B}=\$110,000

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

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