An economy has three sectors producing products:
Product 1, Product 2, and Product 3.
i. To produce 1 unit of Product 1 requires 0.20 units of Product 1, 0.15 units of Product 2, and 0.10 units of Product 3.
ii. To product 1 unit of Product 2 it takes 0.14 units of Product 1, 0.05 units of Product 2, and 0.12 units of Product 3.
iii. To produce 1 unit of Product 3 it takes 0.14 units of Product 1, and 0.08 units of Product 2.
Required:
(a) What should the total production be set at in order to satisfy an external demand of 100 units of Product 1, 120 units of Product 2, and 150 units of Product 3?

total number of products to be produced to satisfy external demands are:

product 1 : 157.8 units

product 2 : 153 units

product 3 : 174.4 units

Explanation:

What is question is essentially looking for is for you to add the total units of producing each product to the external demand to get the total production units that will not affect external demand. Let us start by outlining the products and requirements clearly.

for 1 unit for products

                             product unit required for 1 unit

products               1                2             3

product 1.            0.20           0.15      0.10

product 2.           0.14            0.05     0.12

product 3.           0.14            0.08

If the amounts shown above are for the production of 1 unit each of the products 1, 2 and 3, therefor, to calculate the individual units required in production of total demand units, we will multiply the amounts required for the production of 1 unit by the number of demand units. hence:

                                          product unit required for external demand units

product units                                  1                              2                            3

100 units of product 1            0.20×100                 0.15×100             0.10×100

120 units of product 2            0.14×120                  0.05×120            0.12×120

150 units of product 3            0.14×150                  0.08×150

after the multiplication the unit required in the production are:

                                           product unit required for external demand units

product units                         product 1                 product 2          product 3

100 units of product 1                   20                           15                           10

120 units of product 2                  16.8                          6                            14.4

150 units of product 3                  21                             12

Next, let us add the individual units required for the production of external demand units:

product 1 : 20+16.8+21 = 57.8

Product 2 : 15+6+12 = 33

product 3 : 10 + 14.4 = 24.4

Finally Let us add the total units required in production to the total external demand units to get the total units to be produced that will not affect external demand:

product 1 : 100 + 57.8 = 157.8 units

product 2 : 120 + 33 = 153 units

product 3 : 150 + 24.4 = 174.4 units

When these extra units above demand units are produced, they will make up for the amount of units consumed during production.

i think it is sales-oriented, but i am not sure

answer; dogs;