Jacquemus is a new promising luxury brand of purses, shoes and jewellery, among others. After market research and ideation, the designer creates several new designs. When a new design’s value exceeds a given market potential, a new purse style is created. Purse styles remain on the market for an average of 12 years from their creation. Once a purse style is created, purses following this style are developed at one of Jacquemus three independent workers and are then introduced to the market. Each purse is developed by a single worker and each such worker can only develop a single purse at a time.

The time to create a new style and the time to develop a purse are variable. On average, Jacquemus creates a new style every 5 months (including market research and ideation stages). Also, the average time to develop a purse lasts 12 months (including the time to source materials, time for a prototype and the time to reach bulk production).

(a) How busy is a Jacquemus’ worker on average?                    

(b) How long does it take for an average purse style from being created to start the development process?       

(c) On average how many purse styles are under development or waiting to be developed?