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10.06.2021 23:58
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The bathtub theory of operations management is being promoted as the next breakthrough

The bathtub theory of operations management is being promoted as the next breakthrough for global competitiveness. The factory is a bathtub with 50 gallons of capacity. The drain is the outlet to the market and can output 2.5 gallons per hour when wide open. The faucet is the raw material input and can let material in at a rate of five gallons per hour. Now, to test your comprehension of the intricacies of operations (assume the bathtub is empty to begin with): a-1. What is the maximum rate (gallons per hour) at which the market can be served if all valves are set to maximum
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prinxcess1206
prinxcess1206
4,8(23 marks)

2.20

Explanation:

The Price elasticity will be:

Δdemand/ΔPrice

The mid point is used to calculate the increases.

Δdemand = ΔQ/midpointQ

(Q2+Q1)/2 = mid point quantity = (300+ 200)/2 = 250

ΔQ = 300-200 = 100

Δdemand = 100/250 = 0.4

Same procedure is applied with the Price numbers:

Δprice = ΔP/midpointP

(P2+P1)/2 = mid point price = (3+ 2.5)/2 = 2.75

ΔP = 2.5-3 = 0.5

Δprice = 0.5 / 2.75 = 0.181818

FInally we calculate the price elasticity:

Δdemand/ΔPrice

0.4/0.1818181818 = 2.2

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