To formulate the cost function equation for the given scenario, we first need to identify the fixed and variable costs involved in selling the container.
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Fixed Costs: This includes the cost of the container and the shipping cost.
- Cost of the container: K1500
- Shipping cost: K1000
- Total fixed costs = K1500 + K1000 = K2500
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Selling Price: The container is sold for K3500.
The cost function, typically represented as \( C(x) \), is related to the number of containers sold \( x \). However, in this scenario, we understand that selling each container corresponds to a total associated cost.
Since the cost to sell each container is primarily a fixed cost in this case, we can express the cost function as:
\[ C(x) = K2500 \]
In this specific scenario, it does not have a variable cost per container sold because there is not much mention of any additional costs aside from the fixed costs incurred with shipping and the purchase of the container itself.
Thus, the cost function is simply the total cost for selling one or more containers, which remains constant at K2500, unless specified with more variable costs or additional specifics.
If you want to express it in terms of the number of containers sold, you might expand it in terms of the revenue generated (given the selling price per container). However, for costs alone, it stands as:
\[ C = K2500 \]
Or if you mean to find costs associated with selling \( x \) containers at K3500 each, the revenue function would be:
\[ R(x) = K3500x \]
This distinction is important: Costs may remain constant depending on the direct relationship provided, whereas Revenue would vary based on the number of units sold.
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