The City Council proposed to utilize a government-owned land with an area of 12,150 square meters. One-third of it will be used for a picnic area while the rest of the land will be planted by mango trees. As the city engineer, you were tasked to determine the following: 1. the dimensions of the picnic area with minimum cost of fencing given that area is to be rectangular and to be fenced off on three sides not adjacent to the highway
Equations and Inequations
Equations and inequalities describe the relationship between two mathematical expressions.
Linear Functions
A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.
OPTIMIZATION
The City Council proposed to utilize a government-owned land with an area of 12,150
square meters. One-third of it will be used for a picnic area while the rest of the land will be
planted by mango trees. As the city engineer, you were tasked to determine the following:
1. the dimensions of the picnic area with minimum cost of fencing given that area is to be
rectangular and to be fenced off on three sides not adjacent to the highway.
2. the number of mango trees that leads to a maximum yield given that if 50 trees are
planted, the average yield per tree will be 400 kilos while the average yield will
decrease by 2 kilos per tree for each additional tree on the same area due to
overcrowding.
Problem 1.
A) Illustration and Representation of Variables = ?
B) Detailed Solution = ?
C) Conclusion =?
Problem 2.
A) Illustration and Representation of Variables = ?
B) Detailed Solution = ?
C) Conclusion =?
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