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  • This topic has 1 reply, 2 voices, and was last updated 10 years ago by John Moffat.
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  • May 30, 2015 at 12:27 pm #250524
    lucymnyamutswa
    Member
    • Topics: 2
    • Replies: 1
    • ☆

    At a selling price of $200, the demand will be 100 000 units per annum. The demand will change by 10 000units per annum for every $30 change in the selling price. The fixed costs are $60 000 per annum, and the variable costs $8 per unit.
    At what selling price per unit will the profit be maximized

    May 30, 2015 at 3:07 pm #250628
    John Moffat
    Keymaster
    • Topics: 57
    • Replies: 54699
    • ☆☆☆☆☆

    First you need to calculate the price demand equation, which is P = 500 – 0.003Q

    Then you put the values of a and b into the marginal revenue equation on the formula sheet. So MR = 500 – 0.006Q
    Then you make the MR equal to the marginal cost of 8.
    So 500 – 0.006Q = 8
    So Q = 82,000
    Then you put Q = 82,000 in the price demand equation, so P = $254.

    (I go through the same question in the free lecture on pricing)

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