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It is obvious that the higher the task priority, the greater impact on the final profit of the function.
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We propose a nonlinear integer programming model to cater to the concavity of the function for the profit of operating a cruise service repeatedly.
Since the total profit of the chain is acquired from the summation of the total profits of the chain partners, so the concavity of the partners' profit functions under the first and second scenarios should be proven to optimize the chain profit of both scenarios.
Here, increases of the profit function mean an organization gains more profit and decreases stand for organization getting lower profit.
In this paper, the increases of the profit function mean an organization gains more profit, and decreases stand for organization getting lower profit.
Considering the profit maximization, the objective function of renewable energy business described in Figures 3 and 8 could be formulated as follows.
(26 Since the amounts of β and a R are positive, the second-order condition is negative (left( {frac{{partial^{2} pi_{text{R}} }}{{partial^{2} q_{text{R}} }} < 0} right)); therefore, the profit function of the green producer is concave.Similarly, if the second order driven for Eq. (7) is negative, the profit function of the thermal producer will be concave.
Unison and Children England have already noted that the government has left a back door open for profit-making companies to set up their own non-profit subsidiaries to take over the function of deciding how best to protect vulnerable children.
To solve the model, q T is first obtained as a function of q R, then the order condition is first examined for a profit function of the thermal power plant of Eq. (30); the best response strategy of thermal power plant is computed as follows: q_{text{T}} = frac{{alpha P_{text{c}} + q_{text{R}} + b_{text{T}} - gamma }}{{2(beta + a_{text{T}} )}}.
Figure 7 The dispersion of the profits as a function of a moup.
Moreover, the concavity of the profit function is revealed.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com