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A Fruit shake stand sells banana and mango shakes. To be profitable, it must be sell at least 10 orders of banana and 30 orders of mango shakes per day. Due to limited space, however, no more than 40 orders of banana shakes or 70 orders of mango shakes can be served. Even the total number of orders for the day cannot exceed 90. If profit is Php 40 for each banana shake sold and Php 32 for each mango shake, how many of each kind should be the vendor sell in order to maximize profit?

A Fruit shake stand sells banana and mango shakes. To be profitable, it must be sell at least 10 orders of banana and 30 orders of mango shakes per day. Due to limited space, however, no more than 40 orders of banana shakes or 70 orders of mango shakes can be served. Even the total number of orders for the day cannot exceed 90. If profit is Php 40 for each banana shake sold and Php 32 for each mango shake, how many of each kind should be the vendor sell in order to maximize profit?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the Linear Programming problem below: SWSF#3 A Fruit shake stand sells banana and mango shakes. To be profitable, it must be sell at least 10 orders of banana and 30 orders of mango shakes per day. Due to limited space, however, no more than 40 orders of banana shakes or 70 orders of mango shakes can be served. Even the total number of orders for the day cannot exceed 90. If profit is Php 40 for each banana shake sold and Php 32 for each mango shake, how many of each kind should be the vendor sell in order to maximize profit?
Transcribed Image Text:Solve the Linear Programming problem below: SWSF#3 A Fruit shake stand sells banana and mango shakes. To be profitable, it must be sell at least 10 orders of banana and 30 orders of mango shakes per day. Due to limited space, however, no more than 40 orders of banana shakes or 70 orders of mango shakes can be served. Even the total number of orders for the day cannot exceed 90. If profit is Php 40 for each banana shake sold and Php 32 for each mango shake, how many of each kind should be the vendor sell in order to maximize profit?
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