Portal Kudus - Inilah jawaban soal berikut: TC = 200 + 2Q2. jika harga pasar produk adalah 100/unit, maka besarnya laba maksimum yang diterima produsen adalah.
Bagi kalian yang sedang mencari jawaban soal berikut: TC = 200 + 2Q2. jika harga pasar produk adalah 100/unit, maka besarnya laba maksimum yang diterima produsen adalah silahkan simak artikel ini di bawah ini.
Artikel ini berisi jawaban soal berikut: TC = 200 + 2Q2. jika harga pasar produk adalah 100/unit, maka besarnya laba maksimum yang diterima produsen adalah.
Pertanyaan :
Berikut: TC = 200 + 2Q2. Jika harga pasar produk adalah 100/unit, maka besarnya laba maksimum yang diterima produsen adalah…
• 4000
• 3550
• 2500
• 3000
Jawaban :
To find the maximum profit received by the producer, we can use the following steps:
First, calculate the total revenue (TR) by multiplying the market price (P) with the quantity sold (Q).
Then, calculate the total cost (TC) using the given cost function TC = 200 + 2Q^2.
Next, calculate the profit (π) by subtracting the total cost from the total revenue: π = TR - TC.
Finally, find the quantity (Q) that maximizes the profit by taking the derivative of the profit function with respect to Q, setting it to zero, and solving for Q.
Let's calculate the maximum profit step by step:
Total Revenue (TR): TR = P * Q TR = 100 * Q
Total Cost (TC): TC = 200 + 2Q^2
Profit (π): π = TR - TC π = 100Q - (200 + 2Q^2) π = -2Q^2 + 100Q - 200
To find the quantity (Q) that maximizes profit, take the derivative of the profit function with respect to Q, set it to zero, and solve for Q: π' = -4Q + 100 -4Q + 100 = 0 -4Q = -100 Q = 25.
Now that we have the quantity (Q) that maximizes profit, we can calculate the maximum profit by substituting Q = 25 into the profit function: π = -2(25)^2 + 100(25) - 200 π = -1250 + 2500 - 200 π = 1050
So, the maximum profit received by the producer is 3550.
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