Question

Your landlord has given you permission to grow plants in the yard, but limits the amount of water you may give them to 24 gallons a month. You may plant cacti and/or palms. Each month, a palm tree requires 8 gallons of water; a cactus needs 2 gallons. 1. Assuming you will properly water your plants, what is the equation in equation in slope- intercept form of your plant Production Possibilities Frontier (PPF)? Put Qp, the number of palms grown on the vertical axis, and use Qc to represent how many cacti you grow. Assume that it is possible to grow fractional quantities of both types of plant, for example, 14 of a palm tree. A. Qc = 4 QP B. Qc = 1/4 Qp Qp = - 1/4 Qc + 24 - Qp = - 1/4 Qc + 3 Qc = -4 QP + 24 24 - Qc = QP Qp = -1/3 Qc + 8 None of the above (Explain why: பயம் TYYP

Answer 1

Solution

Here, it is given that the maximum amount of water that can be used in a month is limited to 24 Gallons

According to the quantity of water required each month by the plants , either only 3 palms trees (or) only 12 cactus plants (or) a combination of these two can be grown with the above mentioned limited amount of water.

oi 2 3 4 5 6 7 8 9 10 11 il CACTUS Cs Scanned with CamScanner

Here in the above graph,the extremities are (0,3) and (12,0) respectively.

Slope" m " is ( 3 - 0) / (0 - 12)

i.e., m = - (1/4)

The Y-intercept of (0,3) is 3

The equation of line in slope intercept form is : Y = m X + C where C is the Y - intercept.

Y = - (1/4) X + 3

i.e., D. Q_P = - (1/4) Q_C+ 3

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