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MMLU-Pro / 352 / A factory can produce 699 units of type I automobile suspension struts in an…

Problem

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question

A factory can produce 699 units of type I automobile suspension struts in an hour (using a new machine) at an average cost of 1.20perunit.ItalsocanproducetypeYstrutsfromthemachine(30perhr.)atacostof1.20 per unit. It also can produce type Y struts from the machine (30 per hr.) at a cost of 1.30 per unit. Each 24 hour production day has a budget of $4,005. The factory wants to produce as many type Y struts as possible, but has a quota of 2,700 type I struts per day. (i) How many type Y struts are produced daily? (ii) Is the factory's budget sufficient?
Plain-text mathematical notation (without MathML)
A factory can produce 699 units of type I automobile suspension struts in an hour (using a new machine) at an average cost of 1.20perunit.ItalsocanproducetypeYstrutsfromthemachine(30perhr.)atacostof1.30 per unit. Each 24 hour production day has a budget of $4,005. The factory wants to produce as many type Y struts as possible, but has a quota of 2,700 type I struts per day. (i) How many type Y struts are produced daily? (ii) Is the factory's budget sufficient?
Original LaTeX notation
A factory can produce 699 units of type I automobile suspension struts in an hour (using a new machine) at an average cost of $1.20 per unit. It also can produce type Y struts from the machine (30 per hr.) at a cost of $1.30 per unit. Each 24 hour production day has a budget of $4,005. The factory wants to produce as many type Y struts as possible, but has a quota of 2,700 type I struts per day. (i) How many type Y struts are produced daily? (ii) Is the factory's budget sufficient?

category

business

options

  1. 550 type Y struts, Yes
  2. 560 type Y struts, Yes
  3. 585 type Y struts, No
  4. 700 type Y struts, No
  5. 585 type Y struts, Yes
  6. 720 type Y struts, No
  7. 500 type Y struts, Yes
  8. 600 type Y struts, No
  9. 600 type Y struts, Yes
  10. 650 type Y struts, Yes

src

stemez-Business

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Source and history

upstream_id / Original problem ID
352
task_id
cc9ceef3-417b-5788-810d-03c3277d3511
task_key
default--test--352
task_revision_id
1
config / split
default / test

Official source

initial import