MyQuestionIcon

1417

You visited us 1417 times! Enjoying our articles? Unlock Full Access!

Prices / Charges Related to Buying and Selling

Martin is pla...

Question

Martin is planning which crops to plant on his farm for the upcoming season. He has enough seed to plant $4$ acres of wheat and $7$ acres of soybeans, but the total area of farmland he owns is only $9$ acres. He earns 90 $p e r a c r e f o r e v e r y a c r e o f w h e a t p l a n t e d a n d$ $120$ for every acre of soybeans planted, and he must pay a $10$ % tax on all money he earns from selling his crops. Calculate the maximum profit, in dollars that Martin can earn from planting wheat and soybeans this season.

A

918

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

B

916

No worries! We‘ve got your back. Try BYJU‘S free classes today!

C

914

No worries! We‘ve got your back. Try BYJU‘S free classes today!

D

912

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A $918$
In order to find the greatest profit, maximize the number of acres of soybeans Martin plants, since soybeans bring in more money per acre than does wheat. At most, MartIncan plant $7$ acres of soybeans.
Therefore, the most money he can make on soybeans is $7 \times 120 = 840$ .
He then has $9 - 7 = 2$ acres left on which to plant wheat.
The money he makes from this wheat is $2 \times 90 = 180$ .
The total amount Martin makes before taxes is therefore $840 + 180 = 1, 020$ .
The tax on this money equals $1020 \times 0.10 = 102$ .
Subtract the amount Martin pays in taxes to get $1, 020 - 102 = 918$ profit.
The correct answer is $918$ .

Suggest Corrections

thumbs-up

0

Similar questions

Q. A farmer has

10

acres of land to plant wheat and rye. He has to plant atleast

7

acres. Each acre of wheat costs

$ 200

and each acre of rye costs

$ 100

to plant. He has only

$ 1200

to spend. Moreover, the farmer has to get the planting done in

12

hours and it takes

1

hour to plant an acre of wheat and

2

hours to plant an acre of rye. An acre of wheat yields a profit of

$ 500

and an acre of rye yields a profit of

$ 300

.

(

x

y

as the acres of wheat and rye planted respectively

)

. What is the maximum profit that the farmer can make?

Q. Of the land owned by a farmer,

90

percent was cleared for planting. Of the cleared land,

40

percent was planted with soybeans and

50

percent of the cleared land was planted with wheat. If the remaining

720

acres of cleared land was planted with corn, how many acres did the farmer own?

Q. Roy planted corn on

\frac{1}{5}

of his land. If he planted

45

acres of corn, how many acres of land does he have?

Q. A fruit grower has

150

acres of land available to raise two crops,

A

B

. It takes one day to trim an acre of crop

A

and two days to trim an acre of crop

B

, and there are

240

days per year available for trimming. It takes

0.3

day to pick an acre of crop

A

0.1

day to pick an acre of crop

B

, and there are

30

days per year available for picking. Fruit grower planted the crops in order to maximize his profit, then his maximum profit is

(

assuming that the profit is

140

per acre for crop

A

235

per acre for crop

B)

Q. Tejas owns 20 acres of land. In a given year, Tejas used 7 acres of land for farming, 5 acres are pastures used for grazing and the remaining land hasn't been cultivated in over a year. He grew 7 crops out of which two were replanted. Only one crop was grown per acre. Find the net sown area, the area under current fallow lands, and gross cropped area respectively.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Prices Related to Buying and Selling

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Prices / Charges Related to Buying and Selling

Standard VIII Mathematics

Join BYJU'S Learning Program

CrossIcon