: You are looking at a 260 foot by 180 foot building lot to subdivide and build two houses. Your town requires 1/2 acre (one acr
1 answer:
Answer:
This lot is equivalent to 1.074 acres.
It can accommodate the construction of 2 houses.
Step-by-step explanation:
The dimensions of the lot are 260 ft 180 ft.
The configuration of the lot is rectangular.
Area of the lot (Length Width) is:
We know:
Thus, 1.074 acres exist in this lot.
Each house requires acres, and with ~1 acre available,
the town permits the construction of 2 houses.
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The maximum value of P is determined to be 33. 
). The solutions to both sets of constraints lie beneath the lines. Solve the equations 5x + y = 16 and 2x + 3y = 22 simultaneously to find their intersection point at (2, 6).
Step-by-step explanation: Start by graphing the constraints represented by the lines
5x + y = 16, which has intercepts at (16, 0) and (0, 16), and
2x + 3y = 22, with intercepts at (11, 0) and (0,The vertices of the feasible region are determined to be (0, 0), (0, 16), (2, 6), and (11, 0). Evaluate the objective function at each vertex.
At (0, 0), P = 0. At (0, 16), P = 32. At (2, 6), P = 18. Finally, at (11, 0), P = 33. Thus, the maximum P value occurs when x = 11 and y = 0.
Finding a solution to an equation entails determining the value of x that renders the equation valid.
We must reverse the operations applied to x to isolate it.
Final Note:
The resulting equation is false, indicating that there is NO solution. Graphically, both equations will be represented as parallel lines that do not intersect.