John Maye Company Inc | 265 followers on LinkedIn. Since 1983, we have built our reputation as leading packaging experts through experience, knowledge and quality service. | Founded in 1983, we have built our reputation as leading packaging experts through experience knowledge and quality service. John Maye Company has been recognized as an innovator in designing custom packaging system solutions based on our evaluation of your packaging needs and access to state of the art products. Our service department is second to none and can provide service solutions for your company quickly and efficiently.