question 3 (1 point) a foreman supervises 4 hvac technicians and is checking their work van inventories…

question 3 (1 point) a foreman supervises 4 hvac technicians and is checking their work van inventories. each technician needs 4 bottles of freon in their van to top off leaking units or use when filling a new unit. he finds that all the bottles average 35% of their maximum capacity. if each bottle holds 45 lbs. of freon and freon costs $9.73/lb., what is the cost of the order he needs to place to replenish all the freon bottles to full? round to the nearest cent. your answer: answer units
Answer
Explanation:
Step1: Calculate the actual amount of freon needed per bottle
Each bottle holds 45 lbs, and on average 35% is lost. So the amount of freon actually used per bottle is $(1 - 0.35)\times45$ lbs. $(1 - 0.35)\times45=0.65\times45 = 29.25$ lbs
Step2: Calculate the number of bottles needed
Since each technician needs 4 bottles, and there are 4 technicians, the total number of bottles needed is $4\times4=16$ bottles.
Step3: Calculate the total amount of freon needed
The total amount of freon needed is the amount per - bottle times the number of bottles. So it is $29.25\times16 = 468$ lbs.
Step4: Calculate the cost
The cost of freon is $9.73 per lb. So the total cost is $9.73\times468$ $9.73\times468 = 9.73\times(400 + 60+8)=9.73\times400+9.73\times60 + 9.73\times8$ $=3892+583.8+77.84=4553.64$
Answer:
$4553.64$