Alice Ciccarelli, a landowner, has subdivided her 2,000 acre farm into three plots of varying sizes (i. e. 500, 900 and 600 acres). She has contracted with three local farm families (sharecroppers), assigning each of them to one of these plots, on the basis of their capabilities. Each sharecropper family will be instructed to plant one or more of three crops: corn, peas and soybeans, devoting a specific amount of acreage to each crop on its allocated plot. Any of the three crops can be planted on each of the three plots, but Alice has placed several restrictions on the farming operation. First, the maximum total acreage to be planted with corn, peas and soybeans are restricted to 9000, 700 and 1000, respectively. Furthermore, at least 60% of each plot must be cultivated and the same proportion of each plot should be under cultivation. Alice estimates that her per acre profit contributions for growing corn, peas and soybeans would be $550, $340 and $250, respectively. What instructions should Alice give to the sharecroppers? Required:
a. Formulate a linear programming model (i. e. clearly and completely define all decision variables, then construct the objective function and all constraints in algebraic format) for finding the optimal solution to Alice's farm operations.
b. Solve your model in part (a) using Excel/solver and clearly interpret the results.

step-by-step explanation:

i need to answer questions so i dont know but i think its the first one because it goes up but a consent rate

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

its adding 5.5 each time

step-by-step explanation: