MTH114 Business Calculus Linear Models

timer Asked: Jan 29th, 2019
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Question Description

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MTH114 Business Calculus Linear Models
MTH114 Business Calculus Linear Models
MTH114 Business Calculus Linear Models

Tutor Answer

School: Boston College

Please find attached the solution for both problems in word and PDF format. Please note both files are exactly same content-wise. Please let me know if you have any doubt.Thanks

a. 𝐼𝑓 𝑀𝑒 π‘Ÿπ‘’π‘π‘Ÿπ‘’π‘ π‘’π‘›π‘‘ π‘π‘’π‘šπ‘π‘’π‘Ÿ π‘œπ‘“ π‘–π‘‘π‘’π‘šπ‘  π‘π‘Ÿπ‘œπ‘‘π‘’π‘π‘’π‘‘ π‘’π‘Žπ‘β„Ž β„Žπ‘œπ‘’π‘Ÿ 𝑏𝑦 𝒙 𝑒𝑛𝑖𝑑𝑠
π‘Žπ‘›π‘‘ π»π‘œπ‘’π‘Ÿπ‘™π‘¦ π‘π‘œπ‘ π‘‘ (π‘‡β„Žπ‘œπ‘’π‘ π‘Žπ‘›π‘‘π‘  π‘œπ‘“ π‘‘π‘œπ‘™π‘™π‘Žπ‘Ÿπ‘ )𝑏𝑦 π’š, π‘‘β„Žπ‘’π‘› 𝑒𝑠𝑖𝑛𝑔 π‘π‘Žπ‘™π‘π‘’π‘™π‘Žπ‘‘π‘œπ‘Ÿ π‘Žπ‘›π‘‘
π‘Ÿπ‘œπ‘’π‘›π‘‘π‘–π‘›π‘” π‘π‘œπ‘’π‘“π‘“π‘–π‘π‘–π‘’π‘›π‘‘π‘  π‘‘π‘œ 2 π‘‘π‘’π‘π‘–π‘šπ‘Žπ‘™ π‘π‘™π‘Žπ‘π‘’π‘ :
π’š = 𝟎. πŸ’πŸ–π’™ βˆ’ πŸ’. 𝟎𝟎
b. π‘‰π‘Žπ‘™π‘’π‘’ π‘œπ‘“ π‘ π‘™π‘œπ‘π‘’ π‘“π‘œπ‘Ÿ π‘Žπ‘π‘œπ‘£π‘’ π‘’π‘žπ‘’π‘Žπ‘‘π‘–π‘œπ‘› = 𝟎. πŸ’πŸ– 𝒕𝒉𝒐𝒖𝒔𝒂𝒏𝒅 𝒅𝒐𝒍𝒍𝒂𝒓𝒔/π’Šπ’•π’†π’Ž
π‘°π’π’•π’†π’“π’‘π’“π’†π’•π’‚π’•π’Šπ’π’ 𝒐𝒇 𝒔𝒍𝒐𝒑𝒆:
For each increase in number of items produced each hour, hourly cost increases by 0.48
thousand dollars.
c. π‘ˆπ‘ π‘–π‘›π‘” π‘šπ‘œπ‘Ÿπ‘’ π‘Žπ‘π‘π‘’π‘Ÿπ‘Žπ‘‘π‘’ π‘šπ‘œπ‘‘π‘’π‘™ π‘‘π‘œ π‘’π‘ π‘‘π‘–π‘šπ‘Žπ‘‘π‘’ π‘‘β„Žπ‘’ π‘π‘œπ‘ π‘‘ (πΈπ‘žπ‘’π‘Žπ‘‘π‘–π‘œπ‘› π‘€π‘–π‘‘β„Ž π‘π‘œπ‘’π‘“π‘“π‘–π‘π‘–π‘’π‘›π‘‘π‘  π‘Ÿπ‘œπ‘’π‘›π‘‘π‘’π‘‘
π‘‘π‘œ 5 π‘‘π‘’π‘π‘–π‘šπ‘Žπ‘™ π‘π‘™π‘Žπ‘π‘’π‘  𝑖𝑠 π‘ β„Žπ‘œπ‘€π‘› π‘π‘’π‘™π‘œπ‘€):
π’š = 𝟎. πŸ’πŸ•πŸ“πŸ”πŸπ’™ βˆ’ πŸ’. πŸŽπŸŽπŸŽπŸ—πŸ
𝑝𝑒𝑑𝑑𝑖𝑛𝑔 π‘₯ = 130 π‘–π‘‘π‘’π‘šπ‘  𝑖𝑛 π‘Žπ‘π‘œπ‘£π‘’ π‘’π‘žπ‘’π‘Žπ‘‘π...

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