M3 Participation Activity

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School

Santa Clara University *

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Course

OMIS 3202

Subject

Economics

Date

Jun 8, 2024

Type

docx

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2

Uploaded by JusticeRam30365

M3 Participation Activity: Q1: Suppose Blue Ridge can order additional pumps from a third party for the production, what is maximum rate that Blue Ridge like to pay for each additional pump? Blue Ridge will pay the shadow price ($200) for each additional pump up to 207 pumps. Q2: If Blue Ridge decides to purchase 10 pumps, what impact will this have on total profit and the optimal solution? Our allowable increase is 7 meaning we at most can only order 207 pumps. If we decide to purchase 10 it puts us out of the range of feasibility. Q3: How much (at most) would you like to pay for 2 more pumps? At most would be 200*2=$400 total Q4: How much (at most) would you like to pay for 100 labor hours? 100*16.667=$1666.7 Q5: How much (at most) would you like to pay for 2 more pumps and 100 labor hours together? 100% Rule: (2/7)+(100/234)<100% =200*2+16.667*100=2066.7 Q6: Suppose a new Hot Tub (the Typhoon-Lagoon) is being considered. It generates a marginal profit of $320 and requires: 1 pump (shadow price = $200) 8 hours of labor (shadow price = $16.67) 13 feet of tubing (shadow price = $0) Would it be profitable to produce any? 320-200*1-16.67*8-0*13=-13.33 < 0 Therefore it would not be profitable.
Q7: Suppose a Typhoon-Lagoon required only 7 labor hours rather than 8. Is it now profitable to produce any? 320-200*1-16.67*7-0*13=3.31>0 Yes, it would be profitable Q8: What is the maximum amount of labor Typhoon-Lagoons could require and still be profitable? 320-200*1-16.67X3-0*13. >0 =120/16.67=7.20 7.20 hours is the max amount of labor to be profitable.
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