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Third grade, volume 2, Mathematics and Life 35? 36 answers
During the National Day, the electrical appliance market was very prosperous. A shop needs to buy a batch of TV sets and washing machines. According to market research, it is decided that the purchase amount of TV sets should not be less than half of that of washing machines. The purchase price and selling price of TV sets and washing machines are as follows:

kind

television

washing machine

Purchase price (yuan/set)

1 800

1 500

Price (RMB/set)

2 000

1 600

It is planned to purchase *** 100 TV sets and washing machines, and the store can raise up to 16 1 800 yuan.

(1) Could you please help the store calculate how many kinds of purchase plans there are? (excluding other expenses except the purchase price)

(2) After the store sells the purchased TV sets and washing machines, which purchase scheme will get the most profit? And get the maximum profit. (Profit = selling price-buying price)

answer

(1) Six purchase schemes (2) When x = 39, the maximum profit of the store is 13 900 yuan.

This autumn, the fruit harvest in Baiyu Village, A city. Fruit grower RoyceWong harvested 20 tons of loquat and 65,438+02 tons of peaches. Now I plan to rent eight A and B trucks and transport all these fruits to other places for sale. It is known that A truck can hold 4 tons of loquat and 1 ton of peach, and B truck can hold 2 tons of loquat and peach respectively.

(1) How does RoyceWong arrange for A and B trucks to be transported to the sales place at one time? How many schemes are there?

(2) If the transportation cost of each class A truck is 300 yuan and the transportation cost of each class B truck is 240 yuan, which scheme does the fruit farmer choose to have the smallest transportation cost? What's the lowest freight?

answer

(1) There are three schemes to arrange two kinds of trucks, A and B. (2) The first scheme has the least freight, with the lowest freight of 2040 yuan.