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Darryl ownes a company that builds trumpets . He just received a purchase order from Guitar Center for 1330 trumpets that must be filled in 66 days. How many days will it take Darryl's company to produce at least 1330 trumpets given the following information? There are some employees on vacation so they will only be able to produce 7 trumpets each day for the next 11 production days. Following day 11, the company will be at full strength and can produce 24

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Darryl ownes a company that builds trumpets . He just received a purchase order from Guitar Center for 1330 trumpets that must be filled in 66 days. How many days will it take Darryl's company to produce at least 1330 trumpets given the following information? There are some employees on vacation so they will only be able to produce 7 trumpets each day for the next 11 production days. Following day 11, the company will be at full strength and can produce 24

Darryl ownes a company that builds trumpets . He just received a purchase order from Guitar Center for 1330 trumpets that must be filled in 66 days. How many days will it take Darryl's company to produce at least 1330 trumpets given the following information? There are some employees on vacation so they will only be able to produce 7 trumpets each day for the next 11 production days. Following day 11, the company will be at full strength and can produce 24

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MatildaMaster · Tutor for 5 years

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trumpets per day.<br /><br />[Answer]<br /><br />We'll answer this question adhering to steps precisely as follows:<br /><br />Step 1: Determine how many trumpets Darryl’s company can produce in the first 11 days while some employees are on vacation.<br />If they can produce 7 trumpets each day, the total over 11 days will be 7 * 11 trumpets.<br />Let's calculate it: <br /><br /> 7 trumpets/day * 11 days = 77 trumpets<br /> <br />Step 2: Deduct the number of trumpets produced from the purchase order to find out how many still need to be built:<br /> 1330 trumpets - 77 trumpets = 1253 trumpets<br /> <br />Step 3: Determine how many days it takes to produce the remaining trumpets:<br />As from Day 12, the company will be at full strength and can produce 24 trumpets per day. To determine how many days they will need to produce the remaining trumpets, divide the remaining number by the daily production rate. <br /><br /> 1253 trumpets ÷ 24 trumpets/day = 52.20 days, approximately 53 days<br /> <br />So they spend 53 days after day 11.<br /><br />Step 4: Sum up to find the total number of production days:<br /><br /> The total time thus becomes 11 days + 53 days = 64 days<br /><br />So applying the given information to each step of the calculation, it agrees with previously determined principles. <br /><br />【Highlight】<br /><br />In conclusion, if Darryl's company follows the planned production schedule, they would need 64 days to meet the order for 1330 trumpets.
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