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Use the Excel Spreadsheet data below to determine the Optimal Q value for the fo

ID: 1165257 • Letter: U

Question

Use the Excel Spreadsheet data below to determine the Optimal Q value for the following scenario:

Market report:  The market for crab meat is showing healthy demand this month, with a market price of $565 per 20lb container.

First Mate’s report:  Things are running smoothly. The cost of keeping and maintaining the boats remains fixed at $750 per month. Employees are happy with their hourly wage, and there are no changes to our variable costs.

FC 7500 VC 100 Base 5 Increasing Q FC VC TC MC 0      7,500.00 0 7,500.00 0 1      7,500.00          105.00      7,605.00           105.00 2      7,500.00          220.00      7,720.00           115.00 3      7,500.00          345.00      7,845.00           125.00 4      7,500.00          480.00      7,980.00           135.00 5      7,500.00          625.00      8,125.00           145.00 6      7,500.00          780.00      8,280.00           155.00 7      7,500.00          945.00      8,445.00           165.00 8      7,500.00      1,120.00      8,620.00           175.00 9      7,500.00      1,305.00      8,805.00           185.00 10      7,500.00      1,500.00      9,000.00           195.00 11      7,500.00      1,705.00      9,205.00           205.00 12      7,500.00      1,920.00      9,420.00           215.00 13      7,500.00      2,145.00      9,645.00           225.00 14      7,500.00      2,380.00      9,880.00           235.00 15      7,500.00      2,625.00    10,125.00           245.00 16      7,500.00      2,880.00    10,380.00           255.00 17      7,500.00      3,145.00    10,645.00           265.00 18      7,500.00      3,420.00    10,920.00           275.00 19      7,500.00      3,705.00    11,205.00           285.00 20      7,500.00      4,000.00    11,500.00           295.00 21      7,500.00      4,305.00    11,805.00           305.00 22      7,500.00      4,620.00    12,120.00           315.00 23      7,500.00      4,945.00    12,445.00           325.00 24      7,500.00      5,280.00    12,780.00           335.00 25      7,500.00      5,625.00    13,125.00           345.00 26      7,500.00      5,980.00    13,480.00           355.00 27      7,500.00      6,345.00    13,845.00           365.00 28      7,500.00      6,720.00    14,220.00           375.00 29      7,500.00      7,105.00    14,605.00           385.00 30      7,500.00      7,500.00    15,000.00           395.00 31      7,500.00      7,905.00    15,405.00           405.00 32      7,500.00      8,320.00    15,820.00           415.00 33      7,500.00      8,745.00    16,245.00           425.00 34      7,500.00      9,180.00    16,680.00           435.00 35      7,500.00      9,625.00    17,125.00           445.00 36      7,500.00    10,080.00    17,580.00           455.00 37      7,500.00    10,545.00    18,045.00           465.00 38      7,500.00    11,020.00    18,520.00           475.00 39      7,500.00    11,505.00    19,005.00           485.00 40      7,500.00    12,000.00    19,500.00           495.00 41      7,500.00    12,505.00    20,005.00           505.00 42      7,500.00    13,020.00    20,520.00           515.00 43      7,500.00    13,545.00    21,045.00           525.00 44      7,500.00    14,080.00    21,580.00           535.00 45      7,500.00    14,625.00    22,125.00           545.00 46      7,500.00    15,180.00    22,680.00           555.00 47      7,500.00    15,745.00    23,245.00           565.00 48      7,500.00    16,320.00    23,820.00           575.00 49      7,500.00    16,905.00    24,405.00           585.00 50      7,500.00    17,500.00    25,000.00           595.00 51      7,500.00    18,105.00    25,605.00           605.00 52      7,500.00    18,720.00    26,220.00           615.00 53      7,500.00    19,345.00    26,845.00           625.00 54      7,500.00    19,980.00    27,480.00           635.00 55      7,500.00    20,625.00    28,125.00           645.00 56      7,500.00    21,280.00    28,780.00           655.00 57      7,500.00    21,945.00    29,445.00           665.00 58      7,500.00    22,620.00    30,120.00           675.00 59      7,500.00    23,305.00    30,805.00           685.00 60      7,500.00    24,000.00    31,500.00           695.00 61      7,500.00    24,705.00    32,205.00           705.00 62      7,500.00    25,420.00    32,920.00           715.00 63      7,500.00    26,145.00    33,645.00           725.00 64      7,500.00    26,880.00    34,380.00           735.00 65      7,500.00    27,625.00    35,125.00           745.00 66      7,500.00    28,380.00    35,880.00           755.00 67      7,500.00    29,145.00    36,645.00           765.00 68      7,500.00    29,920.00    37,420.00           775.00 69      7,500.00    30,705.00    38,205.00           785.00 70      7,500.00    31,500.00    39,000.00           795.00 71      7,500.00    32,305.00    39,805.00           805.00 72      7,500.00    33,120.00    40,620.00           815.00 73      7,500.00    33,945.00    41,445.00           825.00 74      7,500.00    34,780.00    42,280.00           835.00 75      7,500.00    35,625.00    43,125.00           845.00 76      7,500.00    36,480.00    43,980.00           855.00 77      7,500.00    37,345.00    44,845.00           865.00 78      7,500.00    38,220.00    45,720.00           875.00 79      7,500.00    39,105.00    46,605.00           885.00 80      7,500.00    40,000.00    47,500.00           895.00 81      7,500.00    40,905.00    48,405.00           905.00 82      7,500.00    41,820.00    49,320.00           915.00 83      7,500.00    42,745.00    50,245.00           925.00 84      7,500.00    43,680.00    51,180.00           935.00 85      7,500.00    44,625.00    52,125.00           945.00 86      7,500.00    45,580.00    53,080.00           955.00 87      7,500.00    46,545.00    54,045.00           965.00 88      7,500.00    47,520.00    55,020.00           975.00 89      7,500.00    48,505.00    56,005.00           985.00 90      7,500.00    49,500.00    57,000.00           995.00 91      7,500.00    50,505.00    58,005.00        1,005.00 92      7,500.00    51,520.00    59,020.00        1,015.00 93      7,500.00    52,545.00    60,045.00        1,025.00 94      7,500.00    53,580.00    61,080.00        1,035.00 95      7,500.00    54,625.00    62,125.00        1,045.00 96      7,500.00    55,680.00    63,180.00        1,055.00 97      7,500.00    56,745.00    64,245.00        1,065.00 98      7,500.00    57,820.00    65,320.00        1,075.00 99      7,500.00    58,905.00    66,405.00        1,085.00

Explanation / Answer

Equilibrium occurs at point where marginal cost is equal to Price. So equilibrium output is equal to 47 units . At q= 47 ( P= MC = 45)