E Question Hep simplified economy involves Uustthree oommodity categories About

Question

E Question Hep simplified economy involves Uustthree oommodity categories About units of agrouhune, Jnts of manufacturing and units of manufacturing and transportation, al in appropriate units. Production of 1 unit of transportation should be produced agriculture requires 113 unit of manufacturing and 1i4 unit of transportaton Round to the nearest whole number as needed.) of 1 unit of manufacturing roquines 1A unito agrouhane and 1U4 unit of transportation, and production of 1 unit of transportaton requires 115 unit of agriculture and 14 unit of manufacturing f the demand is 602 units of each commodity, how many units of each commodity should be produced? Enter your answer in each of the answer boxes. command command

Explanation / Answer

Solution:

Set this up as a system of equations.

We know that the agriculture output will be the produced agriculture minus 1/3 the produced manufacturing minus 1/4 the produced transportation, and this needs to be 602, so:

A-1/3 (M) -1/4(T) =602

Set up equations for manufacturing output and transportation output similarly:

M - 1/4 (A) -1/4(T) = 602

T - 1/4 (A) - 1/4(M) = 602

On solveing this system of equation we get

A = 1328.55 = 1329

M = 1245.5 = 1246

T = 1245.5 = 1246

Answer

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